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)  

Kumutha, Amutha and Raj have $610 altogether. Kumutha spent 13 of her money. Amutha spent $60 and Raj spent thrice the amount of what Kumutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumutha $ ___

Amutha $ ___

Raj $ ___


Answer:_______________




2)  

Anand, Ovini and Narayanan have $660 altogether. Anand spent 14 of his money. Ovini spent $48 and Narayanan 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 $ ___

Ovini $ ___

Narayanan $ ___


Answer:_______________




3)  

Raj, Balaji and Kalai have $289 altogether. Raj spent 15 of his money. Balaji spent $102 and Kalai spent 4 times the amount of what Raj has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Raj $ ___

Balaji $ ___

Kalai $ ___


Answer:_______________




4)  

Mithra, Pavi and Raj have $230 altogether. Mithra spent 13 of her money. Pavi spent $90 and Raj spent thrice the amount of what Mithra has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Mithra $ ___

Pavi $ ___

Raj $ ___


Answer:_______________




5)  

Balaji, Poovazhagi and Karna have $624 altogether. Balaji spent 14 of his money. Poovazhagi spent $48 and Karna spent twice 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 $ ___

Poovazhagi $ ___

Karna $ ___


Answer:_______________




6)  

Selvan, Sriram and Moorthi have $221 altogether. Selvan spent 15 of his money. Sriram spent $68 and Moorthi spent 4 times 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 $ ___

Sriram $ ___

Moorthi $ ___


Answer:_______________




7)  

Kumutha, Pavi and Moorthi have $420 altogether. Kumutha spent 13 of her money. Pavi spent $120 and Moorthi spent thrice the amount of what Kumutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumutha $ ___

Pavi $ ___

Moorthi $ ___


Answer:_______________




8)  

Aravindh, Selvanayaki and Pugal have $204 altogether. Aravindh spent 14 of his money. Selvanayaki spent $60 and Pugal 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 $ ___

Selvanayaki $ ___

Pugal $ ___


Answer:_______________




9)  

Aravindh, Chidambaram and Karna have $561 altogether. Aravindh spent 15 of his money. Chidambaram spent $102 and Karna 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 $ ___

Karna $ ___


Answer:_______________




10)  

Ovini, Selvanayaki and Kalai have $310 altogether. Ovini spent 13 of her money. Selvanayaki spent $90 and Kalai spent thrice the amount of what Ovini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Ovini $ ___

Selvanayaki $ ___

Kalai $ ___


Answer:_______________




 

1)  

Kumutha, Amutha and Raj have $610 altogether. Kumutha spent 13 of her money. Amutha spent $60 and Raj spent thrice the amount of what Kumutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumutha $ Answer: 165

Amutha $ Answer: 170

Raj $ Answer: 275


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumutha
 
 
 
 
$60 spent
 
 
Amutha
 
 
 
 
Spent
 
 
Raj
 
 
 
 
 
 
 
$610

Step 1: 10 units = $610 - $60

                          = $550

Step 2: 1 unit = $550 ÷ 10

                       = $55

Step 3: 3 units = 3 x $55

                        = $165

Step 4: 2 units = 2 x $55

                        = $110

Step 5: $110 + $60 = $170

Step 6: 5 units = 5 x $55

                        = $275

 

Kumutha have $165 at first.

Amutha have $170 at first.

Raj have $275 at first.



2)  

Anand, Ovini and Narayanan have $660 altogether. Anand spent 14 of his money. Ovini spent $48 and Narayanan 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: 204

Ovini $ Answer: 201

Narayanan $ Answer: 255


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
$48 spent
 
 
Ovini
 
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
$660

Step 1: 12 units = $660 - $48

                          = $612

Step 2: 1 unit = $612 ÷ 12

                       = $51

Step 3: 4 units = 4 x $51

                        = $204

Step 4: 3 units = 3 x $51

                        = $153

Step 5: $153 + $48 = $201

Step 6: 5 units = 5 x $51

                        = $255

 

Anand have $204 at first.

Ovini have $201 at first.

Narayanan have $255 at first.



3)  

Raj, Balaji and Kalai have $289 altogether. Raj spent 15 of his money. Balaji spent $102 and Kalai spent 4 times the amount of what Raj has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Raj $ Answer: 55

Balaji $ Answer: 146

Kalai $ Answer: 88


SOLUTION 1 :
Left
 
 
Spent
 
 
Raj
 
 
 
 
 
 
$102 spent
 
 
Balaji
 
 
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
 
 
 
$289

Step 1: 17 units = $289 - $102

                          = $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 + $102 = $146

Step 6: 8 units = 8 x $11

                        = $88

 

Raj have $55 at first.

Balaji have $146 at first.

Kalai have $88 at first.



4)  

Mithra, Pavi and Raj have $230 altogether. Mithra spent 13 of her money. Pavi spent $90 and Raj spent thrice the amount of what Mithra has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Mithra $ Answer: 42

Pavi $ Answer: 118

Raj $ Answer: 70


SOLUTION 1 :
Left
 
 
Spent
 
 
Mithra
 
 
 
 
$90 spent
 
 
Pavi
 
 
 
 
Spent
 
 
Raj
 
 
 
 
 
 
 
$230

Step 1: 10 units = $230 - $90

                          = $140

Step 2: 1 unit = $140 ÷ 10

                       = $14

Step 3: 3 units = 3 x $14

                        = $42

Step 4: 2 units = 2 x $14

                        = $28

Step 5: $28 + $90 = $118

Step 6: 5 units = 5 x $14

                        = $70

 

Mithra have $42 at first.

Pavi have $118 at first.

Raj have $70 at first.



5)  

Balaji, Poovazhagi and Karna have $624 altogether. Balaji spent 14 of his money. Poovazhagi spent $48 and Karna spent twice 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: 192

Poovazhagi $ Answer: 192

Karna $ Answer: 240


SOLUTION 1 :
Left
 
 
Spent
 
 
Balaji
 
 
 
 
 
$48 spent
 
 
Poovazhagi
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$624

Step 1: 12 units = $624 - $48

                          = $576

Step 2: 1 unit = $576 ÷ 12

                       = $48

Step 3: 4 units = 4 x $48

                        = $192

Step 4: 3 units = 3 x $48

                        = $144

Step 5: $144 + $48 = $192

Step 6: 5 units = 5 x $48

                        = $240

 

Balaji have $192 at first.

Poovazhagi have $192 at first.

Karna have $240 at first.



6)  

Selvan, Sriram and Moorthi have $221 altogether. Selvan spent 15 of his money. Sriram spent $68 and Moorthi spent 4 times 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: 45

Sriram $ Answer: 104

Moorthi $ Answer: 72


SOLUTION 1 :
Left
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
$68 spent
 
 
Sriram
 
 
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
 
 
 
$221

Step 1: 17 units = $221 - $68

                          = $153

Step 2: 1 unit = $153 ÷ 17

                       = $9

Step 3: 5 units = 5 x $9

                        = $45

Step 4: 4 units = 4 x $9

                        = $36

Step 5: $36 + $68 = $104

Step 6: 8 units = 8 x $9

                        = $72

 

Selvan have $45 at first.

Sriram have $104 at first.

Moorthi have $72 at first.



7)  

Kumutha, Pavi and Moorthi have $420 altogether. Kumutha spent 13 of her money. Pavi spent $120 and Moorthi spent thrice the amount of what Kumutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Kumutha $ Answer: 90

Pavi $ Answer: 180

Moorthi $ Answer: 150


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumutha
 
 
 
 
$120 spent
 
 
Pavi
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
$420

Step 1: 10 units = $420 - $120

                          = $300

Step 2: 1 unit = $300 ÷ 10

                       = $30

Step 3: 3 units = 3 x $30

                        = $90

Step 4: 2 units = 2 x $30

                        = $60

Step 5: $60 + $120 = $180

Step 6: 5 units = 5 x $30

                        = $150

 

Kumutha have $90 at first.

Pavi have $180 at first.

Moorthi have $150 at first.



8)  

Aravindh, Selvanayaki and Pugal have $204 altogether. Aravindh spent 14 of his money. Selvanayaki spent $60 and Pugal 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: 48

Selvanayaki $ Answer: 96

Pugal $ Answer: 60


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
$60 spent
 
 
Selvanayaki
 
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$204

Step 1: 12 units = $204 - $60

                          = $144

Step 2: 1 unit = $144 ÷ 12

                       = $12

Step 3: 4 units = 4 x $12

                        = $48

Step 4: 3 units = 3 x $12

                        = $36

Step 5: $36 + $60 = $96

Step 6: 5 units = 5 x $12

                        = $60

 

Aravindh have $48 at first.

Selvanayaki have $96 at first.

Pugal have $60 at first.



9)  

Aravindh, Chidambaram and Karna have $561 altogether. Aravindh spent 15 of his money. Chidambaram spent $102 and Karna 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: 210

Karna $ Answer: 216


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
$102 spent
 
 
Chidambaram
 
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
 
 
 
$561

Step 1: 17 units = $561 - $102

                          = $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 + $102 = $210

Step 6: 8 units = 8 x $27

                        = $216

 

Aravindh have $135 at first.

Chidambaram have $210 at first.

Karna have $216 at first.



10)  

Ovini, Selvanayaki and Kalai have $310 altogether. Ovini spent 13 of her money. Selvanayaki spent $90 and Kalai spent thrice the amount of what Ovini has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Ovini $ Answer: 66

Selvanayaki $ Answer: 134

Kalai $ Answer: 110


SOLUTION 1 :
Left
 
 
Spent
 
 
Ovini
 
 
 
 
$90 spent
 
 
Selvanayaki
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
$310

Step 1: 10 units = $310 - $90

                          = $220

Step 2: 1 unit = $220 ÷ 10

                       = $22

Step 3: 3 units = 3 x $22

                        = $66

Step 4: 2 units = 2 x $22

                        = $44

Step 5: $44 + $90 = $134

Step 6: 5 units = 5 x $22

                        = $110

 

Ovini have $66 at first.

Selvanayaki have $134 at first.

Kalai have $110 at first.