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)  

Moorthi, Pavi and Kumar have $300 altogether. Moorthi spent 14 of his money. Pavi spent $84 and Kumar 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 $ ___

Kumar $ ___


Answer:_______________




2)  

Amutha, Parveen and Pugal have $670 altogether. Amutha spent 13 of her money. Parveen spent $90 and Pugal 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 $ ___

Parveen $ ___

Pugal $ ___


Answer:_______________




3)  

Narayanan, Murugan and Pugal have $221 altogether. Narayanan spent 15 of his money. Murugan spent $85 and Pugal 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 $ ___

Murugan $ ___

Pugal $ ___


Answer:_______________




4)  

Narayanan, Kumutha and Kalai have $288 altogether. Narayanan spent 14 of his money. Kumutha spent $84 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 $ ___

Kumutha $ ___

Kalai $ ___


Answer:_______________




5)  

Kumutha, Thamarai and Balaji have $310 altogether. Kumutha spent 13 of her money. Thamarai spent $90 and Balaji 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 $ ___

Thamarai $ ___

Balaji $ ___


Answer:_______________




6)  

Murugan, Kalai and Aravindh have $425 altogether. Murugan spent 15 of his money. Kalai spent $51 and Aravindh 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 $ ___

Kalai $ ___

Aravindh $ ___


Answer:_______________




7)  

Barathan, Nandini and Moorthi have $780 altogether. Barathan spent 14 of his money. Nandini spent $72 and Moorthi spent twice the amount of what Barathan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Barathan $ ___

Nandini $ ___

Moorthi $ ___


Answer:_______________




8)  

Parveen, Nandini and Selvan have $210 altogether. Parveen spent 13 of her money. Nandini spent $110 and Selvan spent thrice the amount of what Parveen has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Parveen $ ___

Nandini $ ___

Selvan $ ___


Answer:_______________




9)  

Moorthi, Kumar and Selvan have $544 altogether. Moorthi spent 15 of his money. Kumar spent $51 and Selvan 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 $ ___

Kumar $ ___

Selvan $ ___


Answer:_______________




10)  

Selvan, Tamilselvi and Moorthi have $288 altogether. Selvan spent 14 of his money. Tamilselvi spent $84 and Moorthi spent twice 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 $ ___

Tamilselvi $ ___

Moorthi $ ___


Answer:_______________




 

1)  

Moorthi, Pavi and Kumar have $300 altogether. Moorthi spent 14 of his money. Pavi spent $84 and Kumar 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: 72

Pavi $ Answer: 138

Kumar $ Answer: 90


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
$84 spent
 
 
Pavi
 
 
 
 
 
Spent
 
 
Kumar
 
 
 
 
 
 
 
$300

Step 1: 12 units = $300 - $84

                          = $216

Step 2: 1 unit = $216 ÷ 12

                       = $18

Step 3: 4 units = 4 x $18

                        = $72

Step 4: 3 units = 3 x $18

                        = $54

Step 5: $54 + $84 = $138

Step 6: 5 units = 5 x $18

                        = $90

 

Moorthi have $72 at first.

Pavi have $138 at first.

Kumar have $90 at first.



2)  

Amutha, Parveen and Pugal have $670 altogether. Amutha spent 13 of her money. Parveen spent $90 and Pugal 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: 174

Parveen $ Answer: 206

Pugal $ Answer: 290


SOLUTION 1 :
Left
 
 
Spent
 
 
Amutha
 
 
 
 
$90 spent
 
 
Parveen
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
$670

Step 1: 10 units = $670 - $90

                          = $580

Step 2: 1 unit = $580 ÷ 10

                       = $58

Step 3: 3 units = 3 x $58

                        = $174

Step 4: 2 units = 2 x $58

                        = $116

Step 5: $116 + $90 = $206

Step 6: 5 units = 5 x $58

                        = $290

 

Amutha have $174 at first.

Parveen have $206 at first.

Pugal have $290 at first.



3)  

Narayanan, Murugan and Pugal have $221 altogether. Narayanan spent 15 of his money. Murugan spent $85 and Pugal 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: 40

Murugan $ Answer: 117

Pugal $ Answer: 64


SOLUTION 1 :
Left
 
 
Spent
 
 
Narayanan
 
 
 
 
 
 
$85 spent
 
 
Murugan
 
 
 
 
 
 
Spent
 
 
Pugal
 
 
 
 
 
 
 
 
 
 
$221

Step 1: 17 units = $221 - $85

                          = $136

Step 2: 1 unit = $136 ÷ 17

                       = $8

Step 3: 5 units = 5 x $8

                        = $40

Step 4: 4 units = 4 x $8

                        = $32

Step 5: $32 + $85 = $117

Step 6: 8 units = 8 x $8

                        = $64

 

Narayanan have $40 at first.

Murugan have $117 at first.

Pugal have $64 at first.



4)  

Narayanan, Kumutha and Kalai have $288 altogether. Narayanan spent 14 of his money. Kumutha spent $84 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: 68

Kumutha $ Answer: 135

Kalai $ Answer: 85


SOLUTION 1 :
Left
 
 
Spent
 
 
Narayanan
 
 
 
 
 
$84 spent
 
 
Kumutha
 
 
 
 
 
Spent
 
 
Kalai
 
 
 
 
 
 
 
$288

Step 1: 12 units = $288 - $84

                          = $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 + $84 = $135

Step 6: 5 units = 5 x $17

                        = $85

 

Narayanan have $68 at first.

Kumutha have $135 at first.

Kalai have $85 at first.



5)  

Kumutha, Thamarai and Balaji have $310 altogether. Kumutha spent 13 of her money. Thamarai spent $90 and Balaji 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: 66

Thamarai $ Answer: 134

Balaji $ Answer: 110


SOLUTION 1 :
Left
 
 
Spent
 
 
Kumutha
 
 
 
 
$90 spent
 
 
Thamarai
 
 
 
 
Spent
 
 
Balaji
 
 
 
 
 
 
 
$310

Step 1: 10 units = $310 - $90

                          = $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 + $90 = $134

Step 6: 5 units = 5 x $22

                        = $110

 

Kumutha have $66 at first.

Thamarai have $134 at first.

Balaji have $110 at first.



6)  

Murugan, Kalai and Aravindh have $425 altogether. Murugan spent 15 of his money. Kalai spent $51 and Aravindh 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: 110

Kalai $ Answer: 139

Aravindh $ Answer: 176


SOLUTION 1 :
Left
 
 
Spent
 
 
Murugan
 
 
 
 
 
 
$51 spent
 
 
Kalai
 
 
 
 
 
 
Spent
 
 
Aravindh
 
 
 
 
 
 
 
 
 
 
$425

Step 1: 17 units = $425 - $51

                          = $374

Step 2: 1 unit = $374 ÷ 17

                       = $22

Step 3: 5 units = 5 x $22

                        = $110

Step 4: 4 units = 4 x $22

                        = $88

Step 5: $88 + $51 = $139

Step 6: 8 units = 8 x $22

                        = $176

 

Murugan have $110 at first.

Kalai have $139 at first.

Aravindh have $176 at first.



7)  

Barathan, Nandini and Moorthi have $780 altogether. Barathan spent 14 of his money. Nandini spent $72 and Moorthi spent twice the amount of what Barathan has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Barathan $ Answer: 236

Nandini $ Answer: 249

Moorthi $ Answer: 295


SOLUTION 1 :
Left
 
 
Spent
 
 
Barathan
 
 
 
 
 
$72 spent
 
 
Nandini
 
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
$780

Step 1: 12 units = $780 - $72

                          = $708

Step 2: 1 unit = $708 ÷ 12

                       = $59

Step 3: 4 units = 4 x $59

                        = $236

Step 4: 3 units = 3 x $59

                        = $177

Step 5: $177 + $72 = $249

Step 6: 5 units = 5 x $59

                        = $295

 

Barathan have $236 at first.

Nandini have $249 at first.

Moorthi have $295 at first.



8)  

Parveen, Nandini and Selvan have $210 altogether. Parveen spent 13 of her money. Nandini spent $110 and Selvan spent thrice the amount of what Parveen has spent. Now they have the same amount of money left.

How much money did each of them have at first 


Parveen $ Answer: 30

Nandini $ Answer: 130

Selvan $ Answer: 50


SOLUTION 1 :
Left
 
 
Spent
 
 
Parveen
 
 
 
 
$110 spent
 
 
Nandini
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
$210

Step 1: 10 units = $210 - $110

                          = $100

Step 2: 1 unit = $100 ÷ 10

                       = $10

Step 3: 3 units = 3 x $10

                        = $30

Step 4: 2 units = 2 x $10

                        = $20

Step 5: $20 + $110 = $130

Step 6: 5 units = 5 x $10

                        = $50

 

Parveen have $30 at first.

Nandini have $130 at first.

Selvan have $50 at first.



9)  

Moorthi, Kumar and Selvan have $544 altogether. Moorthi spent 15 of his money. Kumar spent $51 and Selvan 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: 145

Kumar $ Answer: 167

Selvan $ Answer: 232


SOLUTION 1 :
Left
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
$51 spent
 
 
Kumar
 
 
 
 
 
 
Spent
 
 
Selvan
 
 
 
 
 
 
 
 
 
 
$544

Step 1: 17 units = $544 - $51

                          = $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 + $51 = $167

Step 6: 8 units = 8 x $29

                        = $232

 

Moorthi have $145 at first.

Kumar have $167 at first.

Selvan have $232 at first.



10)  

Selvan, Tamilselvi and Moorthi have $288 altogether. Selvan spent 14 of his money. Tamilselvi spent $84 and Moorthi spent twice 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: 68

Tamilselvi $ Answer: 135

Moorthi $ Answer: 85


SOLUTION 1 :
Left
 
 
Spent
 
 
Selvan
 
 
 
 
 
$84 spent
 
 
Tamilselvi
 
 
 
 
 
Spent
 
 
Moorthi
 
 
 
 
 
 
 
$288

Step 1: 12 units = $288 - $84

                          = $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 + $84 = $135

Step 6: 5 units = 5 x $17

                        = $85

 

Selvan have $68 at first.

Tamilselvi have $135 at first.

Moorthi have $85 at first.