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)  

Narayanan, Karna and Moorthi have $408 altogether. Narayanan spent 15 of his money. Karna spent $102 and Moorthi 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 $ ___

Karna $ ___

Moorthi $ ___


Answer:_______________




2)  

Karna, Mithra and Kumar have $360 altogether. Karna spent 14 of his money. Mithra spent $36 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 $ ___

Mithra $ ___

Kumar $ ___


Answer:_______________




3)  

Amutha, Ponnalagu and Murugan have $430 altogether. Amutha spent 13 of her money. Ponnalagu spent $60 and Murugan spent thrice the amount of what Amutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Amutha $ ___

Ponnalagu $ ___

Murugan $ ___


Answer:_______________




4)  

Chidambaram, Barathan and Murugan have $289 altogether. Chidambaram spent 15 of his money. Barathan spent $68 and Murugan 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 $ ___

Barathan $ ___

Murugan $ ___


Answer:_______________




5)  

Chidambaram, Pavi and Barathan have $240 altogether. Chidambaram spent 14 of his money. Pavi spent $36 and Barathan 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 $ ___

Pavi $ ___

Barathan $ ___


Answer:_______________




6)  

Amutha, Haritha and Narayanan have $730 altogether. Amutha spent 13 of her money. Haritha spent $120 and Narayanan spent thrice the amount of what Amutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Amutha $ ___

Haritha $ ___

Narayanan $ ___


Answer:_______________




7)  

Pugal, Balaji and Murugan have $527 altogether. Pugal spent 15 of his money. Balaji spent $34 and Murugan spent 4 times the amount of what Pugal has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pugal $ ___

Balaji $ ___

Murugan $ ___


Answer:_______________




8)  

Pugal, Poongodi and Sriram have $348 altogether. Pugal spent 14 of his money. Poongodi spent $60 and Sriram spent twice the amount of what Pugal has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pugal $ ___

Poongodi $ ___

Sriram $ ___


Answer:_______________




9)  

Jeevini, Ramani and Murugan have $230 altogether. Jeevini spent 13 of her money. Ramani spent $90 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 $ ___

Ramani $ ___

Murugan $ ___


Answer:_______________




10)  

Murugan, Aravindh and Narayanan have $357 altogether. Murugan spent 15 of his money. Aravindh spent $51 and Narayanan 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 $ ___

Aravindh $ ___

Narayanan $ ___


Answer:_______________




 

1)  

Narayanan, Karna and Moorthi have $408 altogether. Narayanan spent 15 of his money. Karna spent $102 and Moorthi 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: 90

Karna $ Answer: 174

Moorthi $ Answer: 144


SOLUTION 1 :
Left
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
$102 spent
 
 
Karna
 
 
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
 
 
 
$408

Step 1: 17 units = $408 - $102

                          = $306

Step 2: 1 unit = $306 ÷ 17

                       = $18

Step 3: 5 units = 5 x $18

                        = $90

Step 4: 4 units = 4 x $18

                        = $72

Step 5: $72 + $102 = $174

Step 6: 8 units = 8 x $18

                        = $144

 

Narayanan have $90 at first.

Karna have $174 at first.

Moorthi have $144 at first.



2)  

Karna, Mithra and Kumar have $360 altogether. Karna spent 14 of his money. Mithra spent $36 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: 108

Mithra $ Answer: 117

Kumar $ Answer: 135


SOLUTION 1 :
Left
 
 
Spent
 
 
Karna
 
 
 
 
 
$36 spent
 
 
Mithra
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$360

Step 1: 12 units = $360 - $36

                          = $324

Step 2: 1 unit = $324 ÷ 12

                       = $27

Step 3: 4 units = 4 x $27

                        = $108

Step 4: 3 units = 3 x $27

                        = $81

Step 5: $81 + $36 = $117

Step 6: 5 units = 5 x $27

                        = $135

 

Karna have $108 at first.

Mithra have $117 at first.

Kumar have $135 at first.



3)  

Amutha, Ponnalagu and Murugan have $430 altogether. Amutha spent 13 of her money. Ponnalagu spent $60 and Murugan spent thrice the amount of what Amutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Amutha $ Answer: 111

Ponnalagu $ Answer: 134

Murugan $ Answer: 185


SOLUTION 1 :
Left
 
 
Spent
 
 
Amutha
 
 
 
 
$60 spent
 
 
Ponnalagu
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$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

 

Amutha have $111 at first.

Ponnalagu have $134 at first.

Murugan have $185 at first.



4)  

Chidambaram, Barathan and Murugan have $289 altogether. Chidambaram spent 15 of his money. Barathan spent $68 and Murugan 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: 65

Barathan $ Answer: 120

Murugan $ Answer: 104


SOLUTION 1 :
Left
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
$68 spent
 
 
Barathan
 
 
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
 
 
 
$289

Step 1: 17 units = $289 - $68

                          = $221

Step 2: 1 unit = $221 ÷ 17

                       = $13

Step 3: 5 units = 5 x $13

                        = $65

Step 4: 4 units = 4 x $13

                        = $52

Step 5: $52 + $68 = $120

Step 6: 8 units = 8 x $13

                        = $104

 

Chidambaram have $65 at first.

Barathan have $120 at first.

Murugan have $104 at first.



5)  

Chidambaram, Pavi and Barathan have $240 altogether. Chidambaram spent 14 of his money. Pavi spent $36 and Barathan 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: 68

Pavi $ Answer: 87

Barathan $ Answer: 85


SOLUTION 1 :
Left
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
$36 spent
 
 
Pavi
 
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
$240

Step 1: 12 units = $240 - $36

                          = $204

Step 2: 1 unit = $204 ÷ 12

                       = $17

Step 3: 4 units = 4 x $17

                        = $68

Step 4: 3 units = 3 x $17

                        = $51

Step 5: $51 + $36 = $87

Step 6: 5 units = 5 x $17

                        = $85

 

Chidambaram have $68 at first.

Pavi have $87 at first.

Barathan have $85 at first.



6)  

Amutha, Haritha and Narayanan have $730 altogether. Amutha spent 13 of her money. Haritha spent $120 and Narayanan spent thrice the amount of what Amutha has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Amutha $ Answer: 183

Haritha $ Answer: 242

Narayanan $ Answer: 305


SOLUTION 1 :
Left
 
 
Spent
 
 
Amutha
 
 
 
 
$120 spent
 
 
Haritha
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
$730

Step 1: 10 units = $730 - $120

                          = $610

Step 2: 1 unit = $610 ÷ 10

                       = $61

Step 3: 3 units = 3 x $61

                        = $183

Step 4: 2 units = 2 x $61

                        = $122

Step 5: $122 + $120 = $242

Step 6: 5 units = 5 x $61

                        = $305

 

Amutha have $183 at first.

Haritha have $242 at first.

Narayanan have $305 at first.



7)  

Pugal, Balaji and Murugan have $527 altogether. Pugal spent 15 of his money. Balaji spent $34 and Murugan spent 4 times the amount of what Pugal has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pugal $ Answer: 145

Balaji $ Answer: 150

Murugan $ Answer: 232


SOLUTION 1 :
Left
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
$34 spent
 
 
Balaji
 
 
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
 
 
 
$527

Step 1: 17 units = $527 - $34

                          = $493

Step 2: 1 unit = $493 ÷ 17

                       = $29

Step 3: 5 units = 5 x $29

                        = $145

Step 4: 4 units = 4 x $29

                        = $116

Step 5: $116 + $34 = $150

Step 6: 8 units = 8 x $29

                        = $232

 

Pugal have $145 at first.

Balaji have $150 at first.

Murugan have $232 at first.



8)  

Pugal, Poongodi and Sriram have $348 altogether. Pugal spent 14 of his money. Poongodi spent $60 and Sriram spent twice the amount of what Pugal has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pugal $ Answer: 96

Poongodi $ Answer: 132

Sriram $ Answer: 120


SOLUTION 1 :
Left
 
 
Spent
 
 
Pugal
 
 
 
 
 
$60 spent
 
 
Poongodi
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
$348

Step 1: 12 units = $348 - $60

                          = $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 + $60 = $132

Step 6: 5 units = 5 x $24

                        = $120

 

Pugal have $96 at first.

Poongodi have $132 at first.

Sriram have $120 at first.



9)  

Jeevini, Ramani and Murugan have $230 altogether. Jeevini spent 13 of her money. Ramani spent $90 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: 42

Ramani $ Answer: 118

Murugan $ Answer: 70


SOLUTION 1 :
Left
 
 
Spent
 
 
Jeevini
 
 
 
 
$90 spent
 
 
Ramani
 
 
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
 
$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

 

Jeevini have $42 at first.

Ramani have $118 at first.

Murugan have $70 at first.



10)  

Murugan, Aravindh and Narayanan have $357 altogether. Murugan spent 15 of his money. Aravindh spent $51 and Narayanan 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: 90

Aravindh $ Answer: 123

Narayanan $ Answer: 144


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
$51 spent
 
 
Aravindh
 
 
 
 
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
 
 
 
 
$357

Step 1: 17 units = $357 - $51

                          = $306

Step 2: 1 unit = $306 ÷ 17

                       = $18

Step 3: 5 units = 5 x $18

                        = $90

Step 4: 4 units = 4 x $18

                        = $72

Step 5: $72 + $51 = $123

Step 6: 8 units = 8 x $18

                        = $144

 

Murugan have $90 at first.

Aravindh have $123 at first.

Narayanan have $144 at first.