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)  

Anand, Raj and Kumar have $425 altogether. Anand spent 15 of his money. Raj spent $51 and Kumar spent 4 times 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 $ ___

Raj $ ___

Kumar $ ___


Answer:_______________




2)  

Chithra, Tulasi and Pugal have $430 altogether. Chithra spent 13 of her money. Tulasi spent $60 and Pugal spent thrice the amount of what Chithra has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chithra $ ___

Tulasi $ ___

Pugal $ ___


Answer:_______________




3)  

Kalai, Tamilselvi and Pugal have $216 altogether. Kalai spent 14 of his money. Tamilselvi spent $96 and Pugal spent twice the amount of what Kalai has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kalai $ ___

Tamilselvi $ ___

Pugal $ ___


Answer:_______________




4)  

Balaji, Kalai and Moorthi have $595 altogether. Balaji spent 15 of his money. Kalai spent $85 and Moorthi spent 4 times the amount of what Balaji has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Balaji $ ___

Kalai $ ___

Moorthi $ ___


Answer:_______________




5)  

Nandini, Tamilselvi and Barathan have $700 altogether. Nandini spent 13 of her money. Tamilselvi spent $120 and Barathan spent thrice the amount of what Nandini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Nandini $ ___

Tamilselvi $ ___

Barathan $ ___


Answer:_______________




6)  

Selvan, Ponnalagu and Sriram have $312 altogether. Selvan spent 14 of his money. Ponnalagu spent $84 and Sriram spent twice the amount of what Selvan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Selvan $ ___

Ponnalagu $ ___

Sriram $ ___


Answer:_______________




7)  

Aravindh, Chidambaram and Sriram have $544 altogether. Aravindh spent 15 of his money. Chidambaram spent $85 and Sriram spent 4 times 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 $ ___

Chidambaram $ ___

Sriram $ ___


Answer:_______________




8)  

Jeevini, Panimalar and Murugan have $250 altogether. Jeevini spent 13 of her money. Panimalar spent $80 and Murugan spent thrice the amount of what Jeevini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Jeevini $ ___

Panimalar $ ___

Murugan $ ___


Answer:_______________




9)  

Aravindh, Poongodi and Chidambaram have $696 altogether. Aravindh spent 14 of his money. Poongodi spent $48 and Chidambaram 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 $ ___

Poongodi $ ___

Chidambaram $ ___


Answer:_______________




10)  

Prem, Sriram and Aravindh have $272 altogether. Prem spent 15 of his money. Sriram spent $85 and Aravindh spent 4 times the amount of what Prem has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Prem $ ___

Sriram $ ___

Aravindh $ ___


Answer:_______________




 

1)  

Anand, Raj and Kumar have $425 altogether. Anand spent 15 of his money. Raj spent $51 and Kumar spent 4 times 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: 110

Raj $ Answer: 139

Kumar $ Answer: 176


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
 
$51 spent
 
 
Raj
 
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
 
 
 
$425

Step 1: 17 units = $425 - $51

                          = $374

Step 2: 1 unit = $374 ÷ 17

                       = $22

Step 3: 5 units = 5 x $22

                        = $110

Step 4: 4 units = 4 x $22

                        = $88

Step 5: $88 + $51 = $139

Step 6: 8 units = 8 x $22

                        = $176

 

Anand have $110 at first.

Raj have $139 at first.

Kumar have $176 at first.



2)  

Chithra, Tulasi and Pugal have $430 altogether. Chithra spent 13 of her money. Tulasi spent $60 and Pugal spent thrice the amount of what Chithra has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Chithra $ Answer: 111

Tulasi $ Answer: 134

Pugal $ Answer: 185


SOLUTION 1 :
Left
 
 
Spent
 
 
Chithra
 
 
 
 
$60 spent
 
 
Tulasi
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$430

Step 1: 10 units = $430 - $60

                          = $370

Step 2: 1 unit = $370 ÷ 10

                       = $37

Step 3: 3 units = 3 x $37

                        = $111

Step 4: 2 units = 2 x $37

                        = $74

Step 5: $74 + $60 = $134

Step 6: 5 units = 5 x $37

                        = $185

 

Chithra have $111 at first.

Tulasi have $134 at first.

Pugal have $185 at first.



3)  

Kalai, Tamilselvi and Pugal have $216 altogether. Kalai spent 14 of his money. Tamilselvi spent $96 and Pugal spent twice the amount of what Kalai has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kalai $ Answer: 40

Tamilselvi $ Answer: 126

Pugal $ Answer: 50


SOLUTION 1 :
Left
 
 
Spent
 
 
Kalai
 
 
 
 
 
$96 spent
 
 
Tamilselvi
 
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$216

Step 1: 12 units = $216 - $96

                          = $120

Step 2: 1 unit = $120 ÷ 12

                       = $10

Step 3: 4 units = 4 x $10

                        = $40

Step 4: 3 units = 3 x $10

                        = $30

Step 5: $30 + $96 = $126

Step 6: 5 units = 5 x $10

                        = $50

 

Kalai have $40 at first.

Tamilselvi have $126 at first.

Pugal have $50 at first.



4)  

Balaji, Kalai and Moorthi have $595 altogether. Balaji spent 15 of his money. Kalai spent $85 and Moorthi spent 4 times the amount of what Balaji has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Balaji $ Answer: 150

Kalai $ Answer: 205

Moorthi $ Answer: 240


SOLUTION 1 :
Left
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
$85 spent
 
 
Kalai
 
 
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
 
 
 
$595

Step 1: 17 units = $595 - $85

                          = $510

Step 2: 1 unit = $510 ÷ 17

                       = $30

Step 3: 5 units = 5 x $30

                        = $150

Step 4: 4 units = 4 x $30

                        = $120

Step 5: $120 + $85 = $205

Step 6: 8 units = 8 x $30

                        = $240

 

Balaji have $150 at first.

Kalai have $205 at first.

Moorthi have $240 at first.



5)  

Nandini, Tamilselvi and Barathan have $700 altogether. Nandini spent 13 of her money. Tamilselvi spent $120 and Barathan spent thrice the amount of what Nandini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Nandini $ Answer: 174

Tamilselvi $ Answer: 236

Barathan $ Answer: 290


SOLUTION 1 :
Left
 
 
Spent
 
 
Nandini
 
 
 
 
$120 spent
 
 
Tamilselvi
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
$700

Step 1: 10 units = $700 - $120

                          = $580

Step 2: 1 unit = $580 ÷ 10

                       = $58

Step 3: 3 units = 3 x $58

                        = $174

Step 4: 2 units = 2 x $58

                        = $116

Step 5: $116 + $120 = $236

Step 6: 5 units = 5 x $58

                        = $290

 

Nandini have $174 at first.

Tamilselvi have $236 at first.

Barathan have $290 at first.



6)  

Selvan, Ponnalagu and Sriram have $312 altogether. Selvan spent 14 of his money. Ponnalagu spent $84 and Sriram spent twice the amount of what Selvan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Selvan $ Answer: 76

Ponnalagu $ Answer: 141

Sriram $ Answer: 95


SOLUTION 1 :
Left
 
 
Spent
 
 
Selvan
 
 
 
 
 
$84 spent
 
 
Ponnalagu
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
$312

Step 1: 12 units = $312 - $84

                          = $228

Step 2: 1 unit = $228 ÷ 12

                       = $19

Step 3: 4 units = 4 x $19

                        = $76

Step 4: 3 units = 3 x $19

                        = $57

Step 5: $57 + $84 = $141

Step 6: 5 units = 5 x $19

                        = $95

 

Selvan have $76 at first.

Ponnalagu have $141 at first.

Sriram have $95 at first.



7)  

Aravindh, Chidambaram and Sriram have $544 altogether. Aravindh spent 15 of his money. Chidambaram spent $85 and Sriram spent 4 times 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: 135

Chidambaram $ Answer: 193

Sriram $ Answer: 216


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
$85 spent
 
 
Chidambaram
 
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
 
 
 
$544

Step 1: 17 units = $544 - $85

                          = $459

Step 2: 1 unit = $459 ÷ 17

                       = $27

Step 3: 5 units = 5 x $27

                        = $135

Step 4: 4 units = 4 x $27

                        = $108

Step 5: $108 + $85 = $193

Step 6: 8 units = 8 x $27

                        = $216

 

Aravindh have $135 at first.

Chidambaram have $193 at first.

Sriram have $216 at first.



8)  

Jeevini, Panimalar and Murugan have $250 altogether. Jeevini spent 13 of her money. Panimalar spent $80 and Murugan spent thrice the amount of what Jeevini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Jeevini $ Answer: 51

Panimalar $ Answer: 114

Murugan $ Answer: 85


SOLUTION 1 :
Left
 
 
Spent
 
 
Jeevini
 
 
 
 
$80 spent
 
 
Panimalar
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$250

Step 1: 10 units = $250 - $80

                          = $170

Step 2: 1 unit = $170 ÷ 10

                       = $17

Step 3: 3 units = 3 x $17

                        = $51

Step 4: 2 units = 2 x $17

                        = $34

Step 5: $34 + $80 = $114

Step 6: 5 units = 5 x $17

                        = $85

 

Jeevini have $51 at first.

Panimalar have $114 at first.

Murugan have $85 at first.



9)  

Aravindh, Poongodi and Chidambaram have $696 altogether. Aravindh spent 14 of his money. Poongodi spent $48 and Chidambaram 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: 216

Poongodi $ Answer: 210

Chidambaram $ Answer: 270


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
$48 spent
 
 
Poongodi
 
 
 
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
 
$696

Step 1: 12 units = $696 - $48

                          = $648

Step 2: 1 unit = $648 ÷ 12

                       = $54

Step 3: 4 units = 4 x $54

                        = $216

Step 4: 3 units = 3 x $54

                        = $162

Step 5: $162 + $48 = $210

Step 6: 5 units = 5 x $54

                        = $270

 

Aravindh have $216 at first.

Poongodi have $210 at first.

Chidambaram have $270 at first.



10)  

Prem, Sriram and Aravindh have $272 altogether. Prem spent 15 of his money. Sriram spent $85 and Aravindh spent 4 times the amount of what Prem has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Prem $ Answer: 55

Sriram $ Answer: 129

Aravindh $ Answer: 88


SOLUTION 1 :
Left
 
 
Spent
 
 
Prem
 
 
 
 
 
 
$85 spent
 
 
Sriram
 
 
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
 
 
 
$272

Step 1: 17 units = $272 - $85

                          = $187

Step 2: 1 unit = $187 ÷ 17

                       = $11

Step 3: 5 units = 5 x $11

                        = $55

Step 4: 4 units = 4 x $11

                        = $44

Step 5: $44 + $85 = $129

Step 6: 8 units = 8 x $11

                        = $88

 

Prem have $55 at first.

Sriram have $129 at first.

Aravindh have $88 at first.