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, Indra and Aravindh have $530 altogether. Kumutha spent 13 of her money. Indra spent $60 and Aravindh 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 $ ___

Indra $ ___

Aravindh $ ___


Answer:_______________




2)  

Kumar, Pugal and Balaji have $306 altogether. Kumar spent 15 of his money. Pugal spent $34 and Balaji 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 $ ___

Pugal $ ___

Balaji $ ___


Answer:_______________




3)  

Anand, Poongodi and Balaji have $228 altogether. Anand spent 14 of his money. Poongodi spent $48 and Balaji 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 $ ___

Poongodi $ ___

Balaji $ ___


Answer:_______________




4)  

Ramani, Tulasi and Anand have $460 altogether. Ramani spent 13 of her money. Tulasi spent $90 and Anand 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 $ ___

Tulasi $ ___

Anand $ ___


Answer:_______________




5)  

Kalai, Anand and Balaji have $816 altogether. Kalai spent 15 of his money. Anand spent $34 and Balaji spent 4 times 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 $ ___

Anand $ ___

Balaji $ ___


Answer:_______________




6)  

Kalai, Chithra and Prem have $216 altogether. Kalai spent 14 of his money. Chithra spent $72 and Prem 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 $ ___

Chithra $ ___

Prem $ ___


Answer:_______________




7)  

Panimalar, Mithra and Murugan have $470 altogether. Panimalar spent 13 of her money. Mithra spent $70 and Murugan spent thrice the amount of what Panimalar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Panimalar $ ___

Mithra $ ___

Murugan $ ___


Answer:_______________




8)  

Aravindh, Kumar and Balaji have $323 altogether. Aravindh spent 15 of his money. Kumar spent $85 and Balaji 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 $ ___

Kumar $ ___

Balaji $ ___


Answer:_______________




9)  

Moorthi, Pavi and Pugal have $372 altogether. Moorthi spent 14 of his money. Pavi spent $24 and Pugal 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 $ ___

Pavi $ ___

Pugal $ ___


Answer:_______________




10)  

Haritha, Nandini and Moorthi have $450 altogether. Haritha spent 13 of her money. Nandini spent $100 and Moorthi spent thrice the amount of what Haritha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Haritha $ ___

Nandini $ ___

Moorthi $ ___


Answer:_______________




 

1)  

Kumutha, Indra and Aravindh have $530 altogether. Kumutha spent 13 of her money. Indra spent $60 and Aravindh 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: 141

Indra $ Answer: 154

Aravindh $ Answer: 235


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumutha
 
 
 
 
$60 spent
 
 
Indra
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
$530

Step 1: 10 units = $530 - $60

                          = $470

Step 2: 1 unit = $470 ÷ 10

                       = $47

Step 3: 3 units = 3 x $47

                        = $141

Step 4: 2 units = 2 x $47

                        = $94

Step 5: $94 + $60 = $154

Step 6: 5 units = 5 x $47

                        = $235

 

Kumutha have $141 at first.

Indra have $154 at first.

Aravindh have $235 at first.



2)  

Kumar, Pugal and Balaji have $306 altogether. Kumar spent 15 of his money. Pugal spent $34 and Balaji 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: 80

Pugal $ Answer: 98

Balaji $ Answer: 128


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
$34 spent
 
 
Pugal
 
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
 
 
 
$306

Step 1: 17 units = $306 - $34

                          = $272

Step 2: 1 unit = $272 ÷ 17

                       = $16

Step 3: 5 units = 5 x $16

                        = $80

Step 4: 4 units = 4 x $16

                        = $64

Step 5: $64 + $34 = $98

Step 6: 8 units = 8 x $16

                        = $128

 

Kumar have $80 at first.

Pugal have $98 at first.

Balaji have $128 at first.



3)  

Anand, Poongodi and Balaji have $228 altogether. Anand spent 14 of his money. Poongodi spent $48 and Balaji 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: 60

Poongodi $ Answer: 93

Balaji $ Answer: 75


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
$48 spent
 
 
Poongodi
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
$228

Step 1: 12 units = $228 - $48

                          = $180

Step 2: 1 unit = $180 ÷ 12

                       = $15

Step 3: 4 units = 4 x $15

                        = $60

Step 4: 3 units = 3 x $15

                        = $45

Step 5: $45 + $48 = $93

Step 6: 5 units = 5 x $15

                        = $75

 

Anand have $60 at first.

Poongodi have $93 at first.

Balaji have $75 at first.



4)  

Ramani, Tulasi and Anand have $460 altogether. Ramani spent 13 of her money. Tulasi spent $90 and Anand 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: 111

Tulasi $ Answer: 164

Anand $ Answer: 185


SOLUTION 1 :
Left
 
 
Spent
 
 
Ramani
 
 
 
 
$90 spent
 
 
Tulasi
 
 
 
 
Spent
 
 
Anand
 
 
 
 
 
 
 
$460

Step 1: 10 units = $460 - $90

                          = $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 + $90 = $164

Step 6: 5 units = 5 x $37

                        = $185

 

Ramani have $111 at first.

Tulasi have $164 at first.

Anand have $185 at first.



5)  

Kalai, Anand and Balaji have $816 altogether. Kalai spent 15 of his money. Anand spent $34 and Balaji spent 4 times 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: 230

Anand $ Answer: 218

Balaji $ Answer: 368


SOLUTION 1 :
Left
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
$34 spent
 
 
Anand
 
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
 
 
 
$816

Step 1: 17 units = $816 - $34

                          = $782

Step 2: 1 unit = $782 ÷ 17

                       = $46

Step 3: 5 units = 5 x $46

                        = $230

Step 4: 4 units = 4 x $46

                        = $184

Step 5: $184 + $34 = $218

Step 6: 8 units = 8 x $46

                        = $368

 

Kalai have $230 at first.

Anand have $218 at first.

Balaji have $368 at first.



6)  

Kalai, Chithra and Prem have $216 altogether. Kalai spent 14 of his money. Chithra spent $72 and Prem 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: 48

Chithra $ Answer: 108

Prem $ Answer: 60


SOLUTION 1 :
Left
 
 
Spent
 
 
Kalai
 
 
 
 
 
$72 spent
 
 
Chithra
 
 
 
 
 
Spent
 
 
Prem
 
 
 
 
 
 
 
$216

Step 1: 12 units = $216 - $72

                          = $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 + $72 = $108

Step 6: 5 units = 5 x $12

                        = $60

 

Kalai have $48 at first.

Chithra have $108 at first.

Prem have $60 at first.



7)  

Panimalar, Mithra and Murugan have $470 altogether. Panimalar spent 13 of her money. Mithra spent $70 and Murugan spent thrice the amount of what Panimalar has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Panimalar $ Answer: 120

Mithra $ Answer: 150

Murugan $ Answer: 200


SOLUTION 1 :
Left
 
 
Spent
 
 
Panimalar
 
 
 
 
$70 spent
 
 
Mithra
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$470

Step 1: 10 units = $470 - $70

                          = $400

Step 2: 1 unit = $400 ÷ 10

                       = $40

Step 3: 3 units = 3 x $40

                        = $120

Step 4: 2 units = 2 x $40

                        = $80

Step 5: $80 + $70 = $150

Step 6: 5 units = 5 x $40

                        = $200

 

Panimalar have $120 at first.

Mithra have $150 at first.

Murugan have $200 at first.



8)  

Aravindh, Kumar and Balaji have $323 altogether. Aravindh spent 15 of his money. Kumar spent $85 and Balaji 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: 70

Kumar $ Answer: 141

Balaji $ Answer: 112


SOLUTION 1 :
Left
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
$85 spent
 
 
Kumar
 
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
 
 
 
$323

Step 1: 17 units = $323 - $85

                          = $238

Step 2: 1 unit = $238 ÷ 17

                       = $14

Step 3: 5 units = 5 x $14

                        = $70

Step 4: 4 units = 4 x $14

                        = $56

Step 5: $56 + $85 = $141

Step 6: 8 units = 8 x $14

                        = $112

 

Aravindh have $70 at first.

Kumar have $141 at first.

Balaji have $112 at first.



9)  

Moorthi, Pavi and Pugal have $372 altogether. Moorthi spent 14 of his money. Pavi spent $24 and Pugal 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: 116

Pavi $ Answer: 111

Pugal $ Answer: 145


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
$24 spent
 
 
Pavi
 
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$372

Step 1: 12 units = $372 - $24

                          = $348

Step 2: 1 unit = $348 ÷ 12

                       = $29

Step 3: 4 units = 4 x $29

                        = $116

Step 4: 3 units = 3 x $29

                        = $87

Step 5: $87 + $24 = $111

Step 6: 5 units = 5 x $29

                        = $145

 

Moorthi have $116 at first.

Pavi have $111 at first.

Pugal have $145 at first.



10)  

Haritha, Nandini and Moorthi have $450 altogether. Haritha spent 13 of her money. Nandini spent $100 and Moorthi spent thrice the amount of what Haritha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Haritha $ Answer: 105

Nandini $ Answer: 170

Moorthi $ Answer: 175


SOLUTION 1 :
Left
 
 
Spent
 
 
Haritha
 
 
 
 
$100 spent
 
 
Nandini
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
$450

Step 1: 10 units = $450 - $100

                          = $350

Step 2: 1 unit = $350 ÷ 10

                       = $35

Step 3: 3 units = 3 x $35

                        = $105

Step 4: 2 units = 2 x $35

                        = $70

Step 5: $70 + $100 = $170

Step 6: 5 units = 5 x $35

                        = $175

 

Haritha have $105 at first.

Nandini have $170 at first.

Moorthi have $175 at first.