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, Keerthi and Sriram have $720 altogether. Anand spent 14 of his money. Keerthi spent $24 and Sriram 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 $ ___

Keerthi $ ___

Sriram $ ___


Answer:_______________




2)  

Moorthi, Raj and Chidambaram have $255 altogether. Moorthi spent 15 of his money. Raj spent $68 and Chidambaram spent 4 times 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 $ ___

Raj $ ___

Chidambaram $ ___


Answer:_______________




3)  

Ovini, Nandini and Karna have $260 altogether. Ovini spent 13 of her money. Nandini spent $90 and Karna 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 $ ___

Nandini $ ___

Karna $ ___


Answer:_______________




4)  

Moorthi, Ramani and Balaji have $480 altogether. Moorthi spent 14 of his money. Ramani spent $60 and Balaji 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 $ ___

Ramani $ ___

Balaji $ ___


Answer:_______________




5)  

Sriram, Kalai and Prem have $612 altogether. Sriram spent 15 of his money. Kalai spent $85 and Prem spent 4 times 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 $ ___

Kalai $ ___

Prem $ ___


Answer:_______________




6)  

Mithra, Tulasi and Prem have $770 altogether. Mithra spent 13 of her money. Tulasi spent $70 and Prem 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 $ ___

Tulasi $ ___

Prem $ ___


Answer:_______________




7)  

Murugan, Ovini and Kalai have $456 altogether. Murugan spent 14 of his money. Ovini spent $96 and Kalai spent twice 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 $ ___

Ovini $ ___

Kalai $ ___


Answer:_______________




8)  

Prem, Narayanan and Raj have $748 altogether. Prem spent 15 of his money. Narayanan spent $85 and Raj 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 $ ___

Narayanan $ ___

Raj $ ___


Answer:_______________




9)  

Pavi, Ovini and Aravindh have $650 altogether. Pavi spent 13 of her money. Ovini spent $80 and Aravindh spent thrice the amount of what Pavi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pavi $ ___

Ovini $ ___

Aravindh $ ___


Answer:_______________




10)  

Chidambaram, Chithra and Moorthi have $324 altogether. Chidambaram spent 14 of his money. Chithra spent $60 and Moorthi 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 $ ___

Chithra $ ___

Moorthi $ ___


Answer:_______________




 

1)  

Anand, Keerthi and Sriram have $720 altogether. Anand spent 14 of his money. Keerthi spent $24 and Sriram 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: 232

Keerthi $ Answer: 198

Sriram $ Answer: 290


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
$24 spent
 
 
Keerthi
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
$720

Step 1: 12 units = $720 - $24

                          = $696

Step 2: 1 unit = $696 ÷ 12

                       = $58

Step 3: 4 units = 4 x $58

                        = $232

Step 4: 3 units = 3 x $58

                        = $174

Step 5: $174 + $24 = $198

Step 6: 5 units = 5 x $58

                        = $290

 

Anand have $232 at first.

Keerthi have $198 at first.

Sriram have $290 at first.



2)  

Moorthi, Raj and Chidambaram have $255 altogether. Moorthi spent 15 of his money. Raj spent $68 and Chidambaram spent 4 times 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: 55

Raj $ Answer: 112

Chidambaram $ Answer: 88


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
$68 spent
 
 
Raj
 
 
 
 
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
 
 
 
 
$255

Step 1: 17 units = $255 - $68

                          = $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 + $68 = $112

Step 6: 8 units = 8 x $11

                        = $88

 

Moorthi have $55 at first.

Raj have $112 at first.

Chidambaram have $88 at first.



3)  

Ovini, Nandini and Karna have $260 altogether. Ovini spent 13 of her money. Nandini spent $90 and Karna 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: 51

Nandini $ Answer: 124

Karna $ Answer: 85


SOLUTION 1 :
Left
 
 
Spent
 
 
Ovini
 
 
 
 
$90 spent
 
 
Nandini
 
 
 
 
Spent
 
 
Karna
 
 
 
 
 
 
 
$260

Step 1: 10 units = $260 - $90

                          = $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 + $90 = $124

Step 6: 5 units = 5 x $17

                        = $85

 

Ovini have $51 at first.

Nandini have $124 at first.

Karna have $85 at first.



4)  

Moorthi, Ramani and Balaji have $480 altogether. Moorthi spent 14 of his money. Ramani spent $60 and Balaji 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: 140

Ramani $ Answer: 165

Balaji $ Answer: 175


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
$60 spent
 
 
Ramani
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
$480

Step 1: 12 units = $480 - $60

                          = $420

Step 2: 1 unit = $420 ÷ 12

                       = $35

Step 3: 4 units = 4 x $35

                        = $140

Step 4: 3 units = 3 x $35

                        = $105

Step 5: $105 + $60 = $165

Step 6: 5 units = 5 x $35

                        = $175

 

Moorthi have $140 at first.

Ramani have $165 at first.

Balaji have $175 at first.



5)  

Sriram, Kalai and Prem have $612 altogether. Sriram spent 15 of his money. Kalai spent $85 and Prem spent 4 times 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: 155

Kalai $ Answer: 209

Prem $ Answer: 248


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
$85 spent
 
 
Kalai
 
 
 
 
 
 
Spent
 
 
Prem
 
 
 
 
 
 
 
 
 
 
$612

Step 1: 17 units = $612 - $85

                          = $527

Step 2: 1 unit = $527 ÷ 17

                       = $31

Step 3: 5 units = 5 x $31

                        = $155

Step 4: 4 units = 4 x $31

                        = $124

Step 5: $124 + $85 = $209

Step 6: 8 units = 8 x $31

                        = $248

 

Sriram have $155 at first.

Kalai have $209 at first.

Prem have $248 at first.



6)  

Mithra, Tulasi and Prem have $770 altogether. Mithra spent 13 of her money. Tulasi spent $70 and Prem 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: 210

Tulasi $ Answer: 210

Prem $ Answer: 350


SOLUTION 1 :
Left
 
 
Spent
 
 
Mithra
 
 
 
 
$70 spent
 
 
Tulasi
 
 
 
 
Spent
 
 
Prem
 
 
 
 
 
 
 
$770

Step 1: 10 units = $770 - $70

                          = $700

Step 2: 1 unit = $700 ÷ 10

                       = $70

Step 3: 3 units = 3 x $70

                        = $210

Step 4: 2 units = 2 x $70

                        = $140

Step 5: $140 + $70 = $210

Step 6: 5 units = 5 x $70

                        = $350

 

Mithra have $210 at first.

Tulasi have $210 at first.

Prem have $350 at first.



7)  

Murugan, Ovini and Kalai have $456 altogether. Murugan spent 14 of his money. Ovini spent $96 and Kalai spent twice 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: 120

Ovini $ Answer: 186

Kalai $ Answer: 150


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
$96 spent
 
 
Ovini
 
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
$456

Step 1: 12 units = $456 - $96

                          = $360

Step 2: 1 unit = $360 ÷ 12

                       = $30

Step 3: 4 units = 4 x $30

                        = $120

Step 4: 3 units = 3 x $30

                        = $90

Step 5: $90 + $96 = $186

Step 6: 5 units = 5 x $30

                        = $150

 

Murugan have $120 at first.

Ovini have $186 at first.

Kalai have $150 at first.



8)  

Prem, Narayanan and Raj have $748 altogether. Prem spent 15 of his money. Narayanan spent $85 and Raj 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: 195

Narayanan $ Answer: 241

Raj $ Answer: 312


SOLUTION 1 :
Left
 
 
Spent
 
 
Prem
 
 
 
 
 
 
$85 spent
 
 
Narayanan
 
 
 
 
 
 
Spent
 
 
Raj
 
 
 
 
 
 
 
 
 
 
$748

Step 1: 17 units = $748 - $85

                          = $663

Step 2: 1 unit = $663 ÷ 17

                       = $39

Step 3: 5 units = 5 x $39

                        = $195

Step 4: 4 units = 4 x $39

                        = $156

Step 5: $156 + $85 = $241

Step 6: 8 units = 8 x $39

                        = $312

 

Prem have $195 at first.

Narayanan have $241 at first.

Raj have $312 at first.



9)  

Pavi, Ovini and Aravindh have $650 altogether. Pavi spent 13 of her money. Ovini spent $80 and Aravindh spent thrice the amount of what Pavi has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Pavi $ Answer: 171

Ovini $ Answer: 194

Aravindh $ Answer: 285


SOLUTION 1 :
Left
 
 
Spent
 
 
Pavi
 
 
 
 
$80 spent
 
 
Ovini
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
$650

Step 1: 10 units = $650 - $80

                          = $570

Step 2: 1 unit = $570 ÷ 10

                       = $57

Step 3: 3 units = 3 x $57

                        = $171

Step 4: 2 units = 2 x $57

                        = $114

Step 5: $114 + $80 = $194

Step 6: 5 units = 5 x $57

                        = $285

 

Pavi have $171 at first.

Ovini have $194 at first.

Aravindh have $285 at first.



10)  

Chidambaram, Chithra and Moorthi have $324 altogether. Chidambaram spent 14 of his money. Chithra spent $60 and Moorthi 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: 88

Chithra $ Answer: 126

Moorthi $ Answer: 110


SOLUTION 1 :
Left
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
$60 spent
 
 
Chithra
 
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
$324

Step 1: 12 units = $324 - $60

                          = $264

Step 2: 1 unit = $264 ÷ 12

                       = $22

Step 3: 4 units = 4 x $22

                        = $88

Step 4: 3 units = 3 x $22

                        = $66

Step 5: $66 + $60 = $126

Step 6: 5 units = 5 x $22

                        = $110

 

Chidambaram have $88 at first.

Chithra have $126 at first.

Moorthi have $110 at first.