Scroll:Fractions >> Model Approach >> ps (1244)


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)  

Keerthi went shopping with some money. Keerthi spent 14 of the money on a bag and 56 of the remaining money on a book. Finally, Keerthi spent the rest of the money on 2 CDs at $25 each.

How much did Keerthi have at first

$ ___



Answer:_______________




2)  

Chithra went shopping with some money. Chithra spent 13 of the money on a bag and 14 of the remaining money on a book. Finally, Chithra spent the rest of the money on 2 CDs at $15 each.

How much did Chithra have at first

$ ___



Answer:_______________




3)  

Keerthi went shopping with some money. Keerthi spent 25 of the money on a bag and 16 of the remaining money on a book. Finally, Keerthi spent the rest of the money on 2 CDs at $10 each.

How much did Keerthi have at first

$ ___



Answer:_______________




4)  

Panimalar went shopping with some money. Panimalar spent 14 of the money on a bag and 56 of the remaining money on a book. Finally, Panimalar spent the rest of the money on 2 CDs at $25 each.

How much did Panimalar have at first

$ ___



Answer:_______________




5)  

Swathi went shopping with some money. Swathi spent 13 of the money on a bag and 14 of the remaining money on a book. Finally, Swathi spent the rest of the money on 2 CDs at $30 each.

How much did Swathi have at first

$ ___



Answer:_______________




6)  

Mithra went shopping with some money. Mithra spent 25 of the money on a bag and 16 of the remaining money on a book. Finally, Mithra spent the rest of the money on 2 CDs at $20 each.

How much did Mithra have at first

$ ___



Answer:_______________




7)  

Panimalar went shopping with some money. Panimalar spent 14 of the money on a bag and 56 of the remaining money on a book. Finally, Panimalar spent the rest of the money on 2 CDs at $39 each.

How much did Panimalar have at first

$ ___



Answer:_______________




8)  

Amutha went shopping with some money. Amutha spent 13 of the money on a bag and 14 of the remaining money on a book. Finally, Amutha spent the rest of the money on 2 CDs at $21 each.

How much did Amutha have at first

$ ___



Answer:_______________




9)  

Jeevini went shopping with some money. Jeevini spent 25 of the money on a bag and 16 of the remaining money on a book. Finally, Jeevini spent the rest of the money on 2 CDs at $35 each.

How much did Jeevini have at first

$ ___



Answer:_______________




10)  

Ovini went shopping with some money. Ovini spent 14 of the money on a bag and 56 of the remaining money on a book. Finally, Ovini spent the rest of the money on 2 CDs at $12 each.

How much did Ovini have at first

$ ___



Answer:_______________




 

1)  

Keerthi went shopping with some money. Keerthi spent 14 of the money on a bag and 56 of the remaining money on a book. Finally, Keerthi spent the rest of the money on 2 CDs at $25 each.

How much did Keerthi have at first

Answer: $400


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 2CDs → 2 x $25 = $50

Step 2: 1 unit =  $50  

Step 3: 8 units = 8 x $50

                          = $400

Keerthi had $400 at first.

 


SOLUTION 2 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 2CDs → 2 x $25 = $50

Step 2: 1 unit (Bag) = 2 x $50  

                      = $100

Step 3: 4 units = 4 x $100

                          = $400

Keerthi had $400 at first.



2)  

Chithra went shopping with some money. Chithra spent 13 of the money on a bag and 14 of the remaining money on a book. Finally, Chithra spent the rest of the money on 2 CDs at $15 each.

How much did Chithra have at first

Answer: $60


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 3 units = 2 x $15  

                         = $30

Step 2: 1 unit = $30 ÷ 3

                      = $10

Step 3: 6 units = 6 x $10

                          = $60

Chithra had $60 at first.



3)  

Keerthi went shopping with some money. Keerthi spent 25 of the money on a bag and 16 of the remaining money on a book. Finally, Keerthi spent the rest of the money on 2 CDs at $10 each.

How much did Keerthi have at first

Answer: $40


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 5 units = 2 x $10  

                         = $20

Step 2: 1 unit = $20 ÷ 5

                      = $4

Step 3: 10 units = 20 x $4

                          = $40

Keerthi had $40 at first.



4)  

Panimalar went shopping with some money. Panimalar spent 14 of the money on a bag and 56 of the remaining money on a book. Finally, Panimalar spent the rest of the money on 2 CDs at $25 each.

How much did Panimalar have at first

Answer: $400


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 2CDs → 2 x $25 = $50

Step 2: 1 unit =  $50  

Step 3: 8 units = 8 x $50

                          = $400

Panimalar had $400 at first.

 


SOLUTION 2 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 2CDs → 2 x $25 = $50

Step 2: 1 unit (Bag) = 2 x $50  

                      = $100

Step 3: 4 units = 4 x $100

                          = $400

Panimalar had $400 at first.



5)  

Swathi went shopping with some money. Swathi spent 13 of the money on a bag and 14 of the remaining money on a book. Finally, Swathi spent the rest of the money on 2 CDs at $30 each.

How much did Swathi have at first

Answer: $120


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 3 units = 2 x $30  

                         = $60

Step 2: 1 unit = $60 ÷ 3

                      = $20

Step 3: 6 units = 6 x $20

                          = $120

Swathi had $120 at first.



6)  

Mithra went shopping with some money. Mithra spent 25 of the money on a bag and 16 of the remaining money on a book. Finally, Mithra spent the rest of the money on 2 CDs at $20 each.

How much did Mithra have at first

Answer: $80


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 5 units = 2 x $20  

                         = $40

Step 2: 1 unit = $40 ÷ 5

                      = $8

Step 3: 10 units = 20 x $8

                          = $80

Mithra had $80 at first.



7)  

Panimalar went shopping with some money. Panimalar spent 14 of the money on a bag and 56 of the remaining money on a book. Finally, Panimalar spent the rest of the money on 2 CDs at $39 each.

How much did Panimalar have at first

Answer: $624


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 2CDs → 2 x $39 = $78

Step 2: 1 unit =  $78  

Step 3: 8 units = 8 x $78

                          = $624

Panimalar had $624 at first.

 


SOLUTION 2 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 2CDs → 2 x $39 = $78

Step 2: 1 unit (Bag) = 2 x $78  

                      = $156

Step 3: 4 units = 4 x $156

                          = $624

Panimalar had $624 at first.



8)  

Amutha went shopping with some money. Amutha spent 13 of the money on a bag and 14 of the remaining money on a book. Finally, Amutha spent the rest of the money on 2 CDs at $21 each.

How much did Amutha have at first

Answer: $84


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 3 units = 2 x $21  

                         = $42

Step 2: 1 unit = $42 ÷ 3

                      = $14

Step 3: 6 units = 6 x $14

                          = $84

Amutha had $84 at first.



9)  

Jeevini went shopping with some money. Jeevini spent 25 of the money on a bag and 16 of the remaining money on a book. Finally, Jeevini spent the rest of the money on 2 CDs at $35 each.

How much did Jeevini have at first

Answer: $140


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 5 units = 2 x $35  

                         = $70

Step 2: 1 unit = $70 ÷ 5

                      = $14

Step 3: 10 units = 20 x $14

                          = $140

Jeevini had $140 at first.



10)  

Ovini went shopping with some money. Ovini spent 14 of the money on a bag and 56 of the remaining money on a book. Finally, Ovini spent the rest of the money on 2 CDs at $12 each.

How much did Ovini have at first

Answer: $192


SOLUTION 1 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 2CDs → 2 x $12 = $24

Step 2: 1 unit =  $24  

Step 3: 8 units = 8 x $24

                          = $192

Ovini had $192 at first.

 


SOLUTION 2 :
Bag
 
 
Remaining
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Bag
 
 
Book
 
 
2 CDs

Step 1: 2CDs → 2 x $12 = $24

Step 2: 1 unit (Bag) = 2 x $24  

                      = $48

Step 3: 4 units = 4 x $48

                          = $192

Ovini had $192 at first.