Scroll:Fractions >> Model Approach >> ps (1225)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

Murugan, Kalai and Balaji have $663 altogether. Murugan spent 15 of his money. Kalai spent $34 and Balaji spent 4 times the amount of what Murugan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Murugan $ ___

Kalai $ ___

Balaji $ ___


Answer:_______________




2)  

Poovazhagi, Nandini and Barathan have $520 altogether. Poovazhagi spent 13 of her money. Nandini spent $70 and Barathan spent thrice the amount of what Poovazhagi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Poovazhagi $ ___

Nandini $ ___

Barathan $ ___


Answer:_______________




3)  

Moorthi, Poovazhagi and Kumar have $216 altogether. Moorthi spent 14 of his money. Poovazhagi spent $84 and Kumar spent twice the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ ___

Poovazhagi $ ___

Kumar $ ___


Answer:_______________




4)  

Chidambaram, Murugan and Raj have $765 altogether. Chidambaram spent 15 of his money. Murugan spent $119 and Raj spent 4 times the amount of what Chidambaram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chidambaram $ ___

Murugan $ ___

Raj $ ___


Answer:_______________




5)  

Ramani, Tamilselvi and Barathan have $780 altogether. Ramani spent 13 of her money. Tamilselvi spent $110 and Barathan spent thrice the amount of what Ramani has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Ramani $ ___

Tamilselvi $ ___

Barathan $ ___


Answer:_______________




6)  

Anand, Haritha and Chidambaram have $516 altogether. Anand spent 14 of his money. Haritha spent $60 and Chidambaram spent twice the amount of what Anand has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Anand $ ___

Haritha $ ___

Chidambaram $ ___


Answer:_______________




7)  

Chidambaram, Sriram and Kumar have $731 altogether. Chidambaram spent 15 of his money. Sriram spent $102 and Kumar spent 4 times the amount of what Chidambaram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chidambaram $ ___

Sriram $ ___

Kumar $ ___


Answer:_______________




8)  

Pavi, Selvanayaki and Narayanan have $560 altogether. Pavi spent 13 of her money. Selvanayaki spent $70 and Narayanan spent thrice the amount of what Pavi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pavi $ ___

Selvanayaki $ ___

Narayanan $ ___


Answer:_______________




9)  

Aravindh, Parveen and Narayanan have $384 altogether. Aravindh spent 14 of his money. Parveen spent $24 and Narayanan spent twice the amount of what Aravindh has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Aravindh $ ___

Parveen $ ___

Narayanan $ ___


Answer:_______________




10)  

Kumar, Prem and Moorthi have $527 altogether. Kumar spent 15 of his money. Prem spent $51 and Moorthi spent 4 times the amount of what Kumar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumar $ ___

Prem $ ___

Moorthi $ ___


Answer:_______________




 

1)  

Murugan, Kalai and Balaji have $663 altogether. Murugan spent 15 of his money. Kalai spent $34 and Balaji spent 4 times the amount of what Murugan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Murugan $ Answer: 185

Kalai $ Answer: 182

Balaji $ Answer: 296


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
$34 spent
 
 
Kalai
 
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
 
 
 
$663

Step 1: 17 units = $663 - $34

                          = $629

Step 2: 1 unit = $629 ÷ 17

                       = $37

Step 3: 5 units = 5 x $37

                        = $185

Step 4: 4 units = 4 x $37

                        = $148

Step 5: $148 + $34 = $182

Step 6: 8 units = 8 x $37

                        = $296

 

Murugan have $185 at first.

Kalai have $182 at first.

Balaji have $296 at first.



2)  

Poovazhagi, Nandini and Barathan have $520 altogether. Poovazhagi spent 13 of her money. Nandini spent $70 and Barathan spent thrice the amount of what Poovazhagi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Poovazhagi $ Answer: 135

Nandini $ Answer: 160

Barathan $ Answer: 225


SOLUTION 1 :
Left
 
 
Spent
 
 
Poovazhagi
 
 
 
 
$70 spent
 
 
Nandini
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
$520

Step 1: 10 units = $520 - $70

                          = $450

Step 2: 1 unit = $450 ÷ 10

                       = $45

Step 3: 3 units = 3 x $45

                        = $135

Step 4: 2 units = 2 x $45

                        = $90

Step 5: $90 + $70 = $160

Step 6: 5 units = 5 x $45

                        = $225

 

Poovazhagi have $135 at first.

Nandini have $160 at first.

Barathan have $225 at first.



3)  

Moorthi, Poovazhagi and Kumar have $216 altogether. Moorthi spent 14 of his money. Poovazhagi spent $84 and Kumar spent twice the amount of what Moorthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Moorthi $ Answer: 44

Poovazhagi $ Answer: 117

Kumar $ Answer: 55


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
$84 spent
 
 
Poovazhagi
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$216

Step 1: 12 units = $216 - $84

                          = $132

Step 2: 1 unit = $132 ÷ 12

                       = $11

Step 3: 4 units = 4 x $11

                        = $44

Step 4: 3 units = 3 x $11

                        = $33

Step 5: $33 + $84 = $117

Step 6: 5 units = 5 x $11

                        = $55

 

Moorthi have $44 at first.

Poovazhagi have $117 at first.

Kumar have $55 at first.



4)  

Chidambaram, Murugan and Raj have $765 altogether. Chidambaram spent 15 of his money. Murugan spent $119 and Raj spent 4 times the amount of what Chidambaram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chidambaram $ Answer: 190

Murugan $ Answer: 271

Raj $ Answer: 304


SOLUTION 1 :
Left
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
$119 spent
 
 
Murugan
 
 
 
 
 
 
Spent
 
 
Raj
 
 
 
 
 
 
 
 
 
 
$765

Step 1: 17 units = $765 - $119

                          = $646

Step 2: 1 unit = $646 ÷ 17

                       = $38

Step 3: 5 units = 5 x $38

                        = $190

Step 4: 4 units = 4 x $38

                        = $152

Step 5: $152 + $119 = $271

Step 6: 8 units = 8 x $38

                        = $304

 

Chidambaram have $190 at first.

Murugan have $271 at first.

Raj have $304 at first.



5)  

Ramani, Tamilselvi and Barathan have $780 altogether. Ramani spent 13 of her money. Tamilselvi spent $110 and Barathan spent thrice the amount of what Ramani has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Ramani $ Answer: 201

Tamilselvi $ Answer: 244

Barathan $ Answer: 335


SOLUTION 1 :
Left
 
 
Spent
 
 
Ramani
 
 
 
 
$110 spent
 
 
Tamilselvi
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
$780

Step 1: 10 units = $780 - $110

                          = $670

Step 2: 1 unit = $670 ÷ 10

                       = $67

Step 3: 3 units = 3 x $67

                        = $201

Step 4: 2 units = 2 x $67

                        = $134

Step 5: $134 + $110 = $244

Step 6: 5 units = 5 x $67

                        = $335

 

Ramani have $201 at first.

Tamilselvi have $244 at first.

Barathan have $335 at first.



6)  

Anand, Haritha and Chidambaram have $516 altogether. Anand spent 14 of his money. Haritha spent $60 and Chidambaram spent twice the amount of what Anand has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Anand $ Answer: 152

Haritha $ Answer: 174

Chidambaram $ Answer: 190


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
$60 spent
 
 
Haritha
 
 
 
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
 
$516

Step 1: 12 units = $516 - $60

                          = $456

Step 2: 1 unit = $456 ÷ 12

                       = $38

Step 3: 4 units = 4 x $38

                        = $152

Step 4: 3 units = 3 x $38

                        = $114

Step 5: $114 + $60 = $174

Step 6: 5 units = 5 x $38

                        = $190

 

Anand have $152 at first.

Haritha have $174 at first.

Chidambaram have $190 at first.



7)  

Chidambaram, Sriram and Kumar have $731 altogether. Chidambaram spent 15 of his money. Sriram spent $102 and Kumar spent 4 times the amount of what Chidambaram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chidambaram $ Answer: 185

Sriram $ Answer: 250

Kumar $ Answer: 296


SOLUTION 1 :
Left
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
$102 spent
 
 
Sriram
 
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
 
 
 
$731

Step 1: 17 units = $731 - $102

                          = $629

Step 2: 1 unit = $629 ÷ 17

                       = $37

Step 3: 5 units = 5 x $37

                        = $185

Step 4: 4 units = 4 x $37

                        = $148

Step 5: $148 + $102 = $250

Step 6: 8 units = 8 x $37

                        = $296

 

Chidambaram have $185 at first.

Sriram have $250 at first.

Kumar have $296 at first.



8)  

Pavi, Selvanayaki and Narayanan have $560 altogether. Pavi spent 13 of her money. Selvanayaki spent $70 and Narayanan spent thrice the amount of what Pavi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pavi $ Answer: 147

Selvanayaki $ Answer: 168

Narayanan $ Answer: 245


SOLUTION 1 :
Left
 
 
Spent
 
 
Pavi
 
 
 
 
$70 spent
 
 
Selvanayaki
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
$560

Step 1: 10 units = $560 - $70

                          = $490

Step 2: 1 unit = $490 ÷ 10

                       = $49

Step 3: 3 units = 3 x $49

                        = $147

Step 4: 2 units = 2 x $49

                        = $98

Step 5: $98 + $70 = $168

Step 6: 5 units = 5 x $49

                        = $245

 

Pavi have $147 at first.

Selvanayaki have $168 at first.

Narayanan have $245 at first.



9)  

Aravindh, Parveen and Narayanan have $384 altogether. Aravindh spent 14 of his money. Parveen spent $24 and Narayanan spent twice the amount of what Aravindh has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Aravindh $ Answer: 120

Parveen $ Answer: 114

Narayanan $ Answer: 150


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
$24 spent
 
 
Parveen
 
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
$384

Step 1: 12 units = $384 - $24

                          = $360

Step 2: 1 unit = $360 ÷ 12

                       = $30

Step 3: 4 units = 4 x $30

                        = $120

Step 4: 3 units = 3 x $30

                        = $90

Step 5: $90 + $24 = $114

Step 6: 5 units = 5 x $30

                        = $150

 

Aravindh have $120 at first.

Parveen have $114 at first.

Narayanan have $150 at first.



10)  

Kumar, Prem and Moorthi have $527 altogether. Kumar spent 15 of his money. Prem spent $51 and Moorthi spent 4 times the amount of what Kumar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumar $ Answer: 140

Prem $ Answer: 163

Moorthi $ Answer: 224


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
$51 spent
 
 
Prem
 
 
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
 
 
 
$527

Step 1: 17 units = $527 - $51

                          = $476

Step 2: 1 unit = $476 ÷ 17

                       = $28

Step 3: 5 units = 5 x $28

                        = $140

Step 4: 4 units = 4 x $28

                        = $112

Step 5: $112 + $51 = $163

Step 6: 8 units = 8 x $28

                        = $224

 

Kumar have $140 at first.

Prem have $163 at first.

Moorthi have $224 at first.