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)  

Karna, Chellamal and Kumar have $600 altogether. Karna spent 14 of his money. Chellamal spent $60 and Kumar spent twice the amount of what Karna has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Karna $ ___

Chellamal $ ___

Kumar $ ___


Answer:_______________




2)  

Anand, Balaji and Kumar have $221 altogether. Anand spent 15 of his money. Balaji spent $68 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 $ ___

Balaji $ ___

Kumar $ ___


Answer:_______________




3)  

Keerthi, Jeevini and Chidambaram have $380 altogether. Keerthi spent 13 of her money. Jeevini spent $70 and Chidambaram spent thrice the amount of what Keerthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Keerthi $ ___

Jeevini $ ___

Chidambaram $ ___


Answer:_______________




4)  

Chidambaram, Ramani and Pugal have $372 altogether. Chidambaram spent 14 of his money. Ramani spent $84 and Pugal spent twice 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 $ ___

Ramani $ ___

Pugal $ ___


Answer:_______________




5)  

Narayanan, Kumar and Aravindh have $289 altogether. Narayanan spent 15 of his money. Kumar spent $85 and Aravindh spent 4 times the amount of what Narayanan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Narayanan $ ___

Kumar $ ___

Aravindh $ ___


Answer:_______________




6)  

Chithra, Ovini and Kumar have $410 altogether. Chithra spent 13 of her money. Ovini spent $70 and Kumar 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 $ ___

Ovini $ ___

Kumar $ ___


Answer:_______________




7)  

Sriram, Indra and Murugan have $384 altogether. Sriram spent 14 of his money. Indra spent $84 and Murugan spent twice the amount of what Sriram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Sriram $ ___

Indra $ ___

Murugan $ ___


Answer:_______________




8)  

Raj, Sriram and Karna have $255 altogether. Raj spent 15 of his money. Sriram spent $51 and Karna 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 $ ___

Sriram $ ___

Karna $ ___


Answer:_______________




9)  

Swathi, Parveen and Narayanan have $340 altogether. Swathi spent 13 of her money. Parveen spent $110 and Narayanan spent thrice the amount of what Swathi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Swathi $ ___

Parveen $ ___

Narayanan $ ___


Answer:_______________




10)  

Raj, Haritha and Murugan have $444 altogether. Raj spent 14 of his money. Haritha spent $72 and Murugan spent twice 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 $ ___

Haritha $ ___

Murugan $ ___


Answer:_______________




 

1)  

Karna, Chellamal and Kumar have $600 altogether. Karna spent 14 of his money. Chellamal spent $60 and Kumar spent twice the amount of what Karna has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Karna $ Answer: 180

Chellamal $ Answer: 195

Kumar $ Answer: 225


SOLUTION 1 :
Left
 
 
Spent
 
 
Karna
 
 
 
 
 
$60 spent
 
 
Chellamal
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$600

Step 1: 12 units = $600 - $60

                          = $540

Step 2: 1 unit = $540 ÷ 12

                       = $45

Step 3: 4 units = 4 x $45

                        = $180

Step 4: 3 units = 3 x $45

                        = $135

Step 5: $135 + $60 = $195

Step 6: 5 units = 5 x $45

                        = $225

 

Karna have $180 at first.

Chellamal have $195 at first.

Kumar have $225 at first.



2)  

Anand, Balaji and Kumar have $221 altogether. Anand spent 15 of his money. Balaji spent $68 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: 45

Balaji $ Answer: 104

Kumar $ Answer: 72


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
 
$68 spent
 
 
Balaji
 
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
 
 
 
$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

 

Anand have $45 at first.

Balaji have $104 at first.

Kumar have $72 at first.



3)  

Keerthi, Jeevini and Chidambaram have $380 altogether. Keerthi spent 13 of her money. Jeevini spent $70 and Chidambaram spent thrice the amount of what Keerthi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Keerthi $ Answer: 93

Jeevini $ Answer: 132

Chidambaram $ Answer: 155


SOLUTION 1 :
Left
 
 
Spent
 
 
Keerthi
 
 
 
 
$70 spent
 
 
Jeevini
 
 
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
 
$380

Step 1: 10 units = $380 - $70

                          = $310

Step 2: 1 unit = $310 ÷ 10

                       = $31

Step 3: 3 units = 3 x $31

                        = $93

Step 4: 2 units = 2 x $31

                        = $62

Step 5: $62 + $70 = $132

Step 6: 5 units = 5 x $31

                        = $155

 

Keerthi have $93 at first.

Jeevini have $132 at first.

Chidambaram have $155 at first.



4)  

Chidambaram, Ramani and Pugal have $372 altogether. Chidambaram spent 14 of his money. Ramani spent $84 and Pugal spent twice 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: 96

Ramani $ Answer: 156

Pugal $ Answer: 120


SOLUTION 1 :
Left
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
$84 spent
 
 
Ramani
 
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$372

Step 1: 12 units = $372 - $84

                          = $288

Step 2: 1 unit = $288 ÷ 12

                       = $24

Step 3: 4 units = 4 x $24

                        = $96

Step 4: 3 units = 3 x $24

                        = $72

Step 5: $72 + $84 = $156

Step 6: 5 units = 5 x $24

                        = $120

 

Chidambaram have $96 at first.

Ramani have $156 at first.

Pugal have $120 at first.



5)  

Narayanan, Kumar and Aravindh have $289 altogether. Narayanan spent 15 of his money. Kumar spent $85 and Aravindh spent 4 times the amount of what Narayanan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Narayanan $ Answer: 60

Kumar $ Answer: 133

Aravindh $ Answer: 96


SOLUTION 1 :
Left
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
$85 spent
 
 
Kumar
 
 
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
 
 
 
$289

Step 1: 17 units = $289 - $85

                          = $204

Step 2: 1 unit = $204 ÷ 17

                       = $12

Step 3: 5 units = 5 x $12

                        = $60

Step 4: 4 units = 4 x $12

                        = $48

Step 5: $48 + $85 = $133

Step 6: 8 units = 8 x $12

                        = $96

 

Narayanan have $60 at first.

Kumar have $133 at first.

Aravindh have $96 at first.



6)  

Chithra, Ovini and Kumar have $410 altogether. Chithra spent 13 of her money. Ovini spent $70 and Kumar 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: 102

Ovini $ Answer: 138

Kumar $ Answer: 170


SOLUTION 1 :
Left
 
 
Spent
 
 
Chithra
 
 
 
 
$70 spent
 
 
Ovini
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$410

Step 1: 10 units = $410 - $70

                          = $340

Step 2: 1 unit = $340 ÷ 10

                       = $34

Step 3: 3 units = 3 x $34

                        = $102

Step 4: 2 units = 2 x $34

                        = $68

Step 5: $68 + $70 = $138

Step 6: 5 units = 5 x $34

                        = $170

 

Chithra have $102 at first.

Ovini have $138 at first.

Kumar have $170 at first.



7)  

Sriram, Indra and Murugan have $384 altogether. Sriram spent 14 of his money. Indra spent $84 and Murugan spent twice the amount of what Sriram has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Sriram $ Answer: 100

Indra $ Answer: 159

Murugan $ Answer: 125


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
$84 spent
 
 
Indra
 
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$384

Step 1: 12 units = $384 - $84

                          = $300

Step 2: 1 unit = $300 ÷ 12

                       = $25

Step 3: 4 units = 4 x $25

                        = $100

Step 4: 3 units = 3 x $25

                        = $75

Step 5: $75 + $84 = $159

Step 6: 5 units = 5 x $25

                        = $125

 

Sriram have $100 at first.

Indra have $159 at first.

Murugan have $125 at first.



8)  

Raj, Sriram and Karna have $255 altogether. Raj spent 15 of his money. Sriram spent $51 and Karna 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: 60

Sriram $ Answer: 99

Karna $ Answer: 96


SOLUTION 1 :
Left
 
 
Spent
 
 
Raj
 
 
 
 
 
 
$51 spent
 
 
Sriram
 
 
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
 
 
 
$255

Step 1: 17 units = $255 - $51

                          = $204

Step 2: 1 unit = $204 ÷ 17

                       = $12

Step 3: 5 units = 5 x $12

                        = $60

Step 4: 4 units = 4 x $12

                        = $48

Step 5: $48 + $51 = $99

Step 6: 8 units = 8 x $12

                        = $96

 

Raj have $60 at first.

Sriram have $99 at first.

Karna have $96 at first.



9)  

Swathi, Parveen and Narayanan have $340 altogether. Swathi spent 13 of her money. Parveen spent $110 and Narayanan spent thrice the amount of what Swathi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Swathi $ Answer: 69

Parveen $ Answer: 156

Narayanan $ Answer: 115


SOLUTION 1 :
Left
 
 
Spent
 
 
Swathi
 
 
 
 
$110 spent
 
 
Parveen
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
$340

Step 1: 10 units = $340 - $110

                          = $230

Step 2: 1 unit = $230 ÷ 10

                       = $23

Step 3: 3 units = 3 x $23

                        = $69

Step 4: 2 units = 2 x $23

                        = $46

Step 5: $46 + $110 = $156

Step 6: 5 units = 5 x $23

                        = $115

 

Swathi have $69 at first.

Parveen have $156 at first.

Narayanan have $115 at first.



10)  

Raj, Haritha and Murugan have $444 altogether. Raj spent 14 of his money. Haritha spent $72 and Murugan spent twice 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: 124

Haritha $ Answer: 165

Murugan $ Answer: 155


SOLUTION 1 :
Left
 
 
Spent
 
 
Raj
 
 
 
 
 
$72 spent
 
 
Haritha
 
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$444

Step 1: 12 units = $444 - $72

                          = $372

Step 2: 1 unit = $372 ÷ 12

                       = $31

Step 3: 4 units = 4 x $31

                        = $124

Step 4: 3 units = 3 x $31

                        = $93

Step 5: $93 + $72 = $165

Step 6: 5 units = 5 x $31

                        = $155

 

Raj have $124 at first.

Haritha have $165 at first.

Murugan have $155 at first.