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)  

Pugal, Sriram and Barathan have $748 altogether. Pugal spent 15 of his money. Sriram spent $102 and Barathan 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 $ ___

Sriram $ ___

Barathan $ ___


Answer:_______________




2)  

Kalai, Kumutha and Barathan have $612 altogether. Kalai spent 14 of his money. Kumutha spent $24 and Barathan 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 $ ___

Kumutha $ ___

Barathan $ ___


Answer:_______________




3)  

Savithri, Ramani and Aravindh have $320 altogether. Savithri spent 13 of her money. Ramani spent $100 and Aravindh spent thrice the amount of what Savithri has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Savithri $ ___

Ramani $ ___

Aravindh $ ___


Answer:_______________




4)  

Pugal, Anand and Sriram have $595 altogether. Pugal spent 15 of his money. Anand spent $102 and Sriram 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 $ ___

Anand $ ___

Sriram $ ___


Answer:_______________




5)  

Sriram, Parveen and Moorthi have $396 altogether. Sriram spent 14 of his money. Parveen spent $60 and Moorthi 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 $ ___

Parveen $ ___

Moorthi $ ___


Answer:_______________




6)  

Keerthi, Tamilselvi and Balaji have $330 altogether. Keerthi spent 13 of her money. Tamilselvi spent $70 and Balaji 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 $ ___

Tamilselvi $ ___

Balaji $ ___


Answer:_______________




7)  

Anand, Kumar and Chidambaram have $561 altogether. Anand spent 15 of his money. Kumar spent $102 and Chidambaram 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 $ ___

Kumar $ ___

Chidambaram $ ___


Answer:_______________




8)  

Narayanan, Tamilselvi and Kalai have $516 altogether. Narayanan spent 14 of his money. Tamilselvi spent $60 and Kalai spent twice 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 $ ___

Tamilselvi $ ___

Kalai $ ___


Answer:_______________




9)  

Jeevini, Parveen and Selvan have $780 altogether. Jeevini spent 13 of her money. Parveen spent $90 and Selvan 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 $ ___

Parveen $ ___

Selvan $ ___


Answer:_______________




10)  

Selvan, Moorthi and Balaji have $578 altogether. Selvan spent 15 of his money. Moorthi spent $119 and Balaji 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 $ ___

Moorthi $ ___

Balaji $ ___


Answer:_______________




 

1)  

Pugal, Sriram and Barathan have $748 altogether. Pugal spent 15 of his money. Sriram spent $102 and Barathan 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: 190

Sriram $ Answer: 254

Barathan $ Answer: 304


SOLUTION 1 :
Left
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
$102 spent
 
 
Sriram
 
 
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
 
 
 
$748

Step 1: 17 units = $748 - $102

                          = $646

Step 2: 1 unit = $646 ÷ 17

                       = $38

Step 3: 5 units = 5 x $38

                        = $190

Step 4: 4 units = 4 x $38

                        = $152

Step 5: $152 + $102 = $254

Step 6: 8 units = 8 x $38

                        = $304

 

Pugal have $190 at first.

Sriram have $254 at first.

Barathan have $304 at first.



2)  

Kalai, Kumutha and Barathan have $612 altogether. Kalai spent 14 of his money. Kumutha spent $24 and Barathan 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: 196

Kumutha $ Answer: 171

Barathan $ Answer: 245


SOLUTION 1 :
Left
 
 
Spent
 
 
Kalai
 
 
 
 
 
$24 spent
 
 
Kumutha
 
 
 
 
 
Spent
 
 
Barathan
 
 
 
 
 
 
 
$612

Step 1: 12 units = $612 - $24

                          = $588

Step 2: 1 unit = $588 ÷ 12

                       = $49

Step 3: 4 units = 4 x $49

                        = $196

Step 4: 3 units = 3 x $49

                        = $147

Step 5: $147 + $24 = $171

Step 6: 5 units = 5 x $49

                        = $245

 

Kalai have $196 at first.

Kumutha have $171 at first.

Barathan have $245 at first.



3)  

Savithri, Ramani and Aravindh have $320 altogether. Savithri spent 13 of her money. Ramani spent $100 and Aravindh spent thrice the amount of what Savithri has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Savithri $ Answer: 66

Ramani $ Answer: 144

Aravindh $ Answer: 110


SOLUTION 1 :
Left
 
 
Spent
 
 
Savithri
 
 
 
 
$100 spent
 
 
Ramani
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
$320

Step 1: 10 units = $320 - $100

                          = $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 + $100 = $144

Step 6: 5 units = 5 x $22

                        = $110

 

Savithri have $66 at first.

Ramani have $144 at first.

Aravindh have $110 at first.



4)  

Pugal, Anand and Sriram have $595 altogether. Pugal spent 15 of his money. Anand spent $102 and Sriram 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

Anand $ Answer: 218

Sriram $ Answer: 232


SOLUTION 1 :
Left
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
$102 spent
 
 
Anand
 
 
 
 
 
 
Spent
 
 
Sriram
 
 
 
 
 
 
 
 
 
 
$595

Step 1: 17 units = $595 - $102

                          = $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 + $102 = $218

Step 6: 8 units = 8 x $29

                        = $232

 

Pugal have $145 at first.

Anand have $218 at first.

Sriram have $232 at first.



5)  

Sriram, Parveen and Moorthi have $396 altogether. Sriram spent 14 of his money. Parveen spent $60 and Moorthi 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: 112

Parveen $ Answer: 144

Moorthi $ Answer: 140


SOLUTION 1 :
Left
 
 
Spent
 
 
Sriram
 
 
 
 
 
$60 spent
 
 
Parveen
 
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
$396

Step 1: 12 units = $396 - $60

                          = $336

Step 2: 1 unit = $336 ÷ 12

                       = $28

Step 3: 4 units = 4 x $28

                        = $112

Step 4: 3 units = 3 x $28

                        = $84

Step 5: $84 + $60 = $144

Step 6: 5 units = 5 x $28

                        = $140

 

Sriram have $112 at first.

Parveen have $144 at first.

Moorthi have $140 at first.



6)  

Keerthi, Tamilselvi and Balaji have $330 altogether. Keerthi spent 13 of her money. Tamilselvi spent $70 and Balaji 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: 78

Tamilselvi $ Answer: 122

Balaji $ Answer: 130


SOLUTION 1 :
Left
 
 
Spent
 
 
Keerthi
 
 
 
 
$70 spent
 
 
Tamilselvi
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
$330

Step 1: 10 units = $330 - $70

                          = $260

Step 2: 1 unit = $260 ÷ 10

                       = $26

Step 3: 3 units = 3 x $26

                        = $78

Step 4: 2 units = 2 x $26

                        = $52

Step 5: $52 + $70 = $122

Step 6: 5 units = 5 x $26

                        = $130

 

Keerthi have $78 at first.

Tamilselvi have $122 at first.

Balaji have $130 at first.



7)  

Anand, Kumar and Chidambaram have $561 altogether. Anand spent 15 of his money. Kumar spent $102 and Chidambaram 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: 135

Kumar $ Answer: 210

Chidambaram $ Answer: 216


SOLUTION 1 :
Left
 
 
Spent
 
 
Anand
 
 
 
 
 
 
$102 spent
 
 
Kumar
 
 
 
 
 
 
Spent
 
 
Chidambaram
 
 
 
 
 
 
 
 
 
 
$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

 

Anand have $135 at first.

Kumar have $210 at first.

Chidambaram have $216 at first.



8)  

Narayanan, Tamilselvi and Kalai have $516 altogether. Narayanan spent 14 of his money. Tamilselvi spent $60 and Kalai spent twice 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: 152

Tamilselvi $ Answer: 174

Kalai $ Answer: 190


SOLUTION 1 :
Left
 
 
Spent
 
 
Narayanan
 
 
 
 
 
$60 spent
 
 
Tamilselvi
 
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
$516

Step 1: 12 units = $516 - $60

                          = $456

Step 2: 1 unit = $456 ÷ 12

                       = $38

Step 3: 4 units = 4 x $38

                        = $152

Step 4: 3 units = 3 x $38

                        = $114

Step 5: $114 + $60 = $174

Step 6: 5 units = 5 x $38

                        = $190

 

Narayanan have $152 at first.

Tamilselvi have $174 at first.

Kalai have $190 at first.



9)  

Jeevini, Parveen and Selvan have $780 altogether. Jeevini spent 13 of her money. Parveen spent $90 and Selvan 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: 207

Parveen $ Answer: 228

Selvan $ Answer: 345


SOLUTION 1 :
Left
 
 
Spent
 
 
Jeevini
 
 
 
 
$90 spent
 
 
Parveen
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
$780

Step 1: 10 units = $780 - $90

                          = $690

Step 2: 1 unit = $690 ÷ 10

                       = $69

Step 3: 3 units = 3 x $69

                        = $207

Step 4: 2 units = 2 x $69

                        = $138

Step 5: $138 + $90 = $228

Step 6: 5 units = 5 x $69

                        = $345

 

Jeevini have $207 at first.

Parveen have $228 at first.

Selvan have $345 at first.



10)  

Selvan, Moorthi and Balaji have $578 altogether. Selvan spent 15 of his money. Moorthi spent $119 and Balaji 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: 135

Moorthi $ Answer: 227

Balaji $ Answer: 216


SOLUTION 1 :
Left
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
$119 spent
 
 
Moorthi
 
 
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
 
 
 
$578

Step 1: 17 units = $578 - $119

                          = $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 + $119 = $227

Step 6: 8 units = 8 x $27

                        = $216

 

Selvan have $135 at first.

Moorthi have $227 at first.

Balaji have $216 at first.