Scroll:Fractions >> Model Approach >> ps (380)


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)  

Ramani spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $720 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




2)  

Barathan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $588 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




3)  

Narayanan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $408 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




4)  

Amutha spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $870 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




5)  

Selvan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $744 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




6)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $724 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




7)  

Chithra spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $760 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




8)  

Barathan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $564 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




9)  

Karna spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $836 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




10)  

Tulasi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $785 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




 

1)  

Ramani spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $720 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1728


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$720 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $720


              1 unit = $720 ÷ 5


                         = $144


Step 4: 12 units= 12 x $144


                             =$1728



2)  

Barathan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $588 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3528


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$588 left

(a)

Step 1: 1x32x3+1x23x2 = 3 6+26

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $588

Step 4: 6 units= $588 x 6

                       =$3528



3)  

Narayanan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $408 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $1530


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$408 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $408

                1 unit = $408 ÷ 4

                           = $102

Step 4: 15 units= 15 x $102

                             =$1530



4)  

Amutha spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $870 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $2088


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$870 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $870


              1 unit = $870 ÷ 5


                         = $174


Step 4: 12 units= 12 x $174


                             =$2088



5)  

Selvan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $744 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $4464


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$744 left

(a)

Step 1: 1x32x3+1x23x2 = 3 6+26

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $744

Step 4: 6 units= $744 x 6

                       =$4464



6)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $724 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2715


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$724 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $724

                1 unit = $724 ÷ 4

                           = $181

Step 4: 15 units= 15 x $181

                             =$2715



7)  

Chithra spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $760 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1824


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$760 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $760


              1 unit = $760 ÷ 5


                         = $152


Step 4: 12 units= 12 x $152


                             =$1824



8)  

Barathan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $564 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3384


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$564 left

(a)

Step 1: 1x32x3+1x23x2 = 3 6+26

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $564

Step 4: 6 units= $564 x 6

                       =$3384



9)  

Karna spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $836 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $3135


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$836 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $836

                1 unit = $836 ÷ 4

                           = $209

Step 4: 15 units= 15 x $209

                             =$3135



10)  

Tulasi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $785 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1884


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$785 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $785


              1 unit = $785 ÷ 5


                         = $157


Step 4: 12 units= 12 x $157


                             =$1884