Scroll:Fraction >> 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)  

Moorthi spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $660 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




2)  

Kumutha spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $690 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




3)  

Prem spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $846 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




4)  

Raj spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $808 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




5)  

Ponnalagu spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $690 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




6)  

Raj spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $666 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




7)  

Kalai spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $516 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




8)  

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 $855 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




9)  

Narayanan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $852 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




10)  

Karna spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $828 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




 

1)  

Moorthi spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $660 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2475


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$660 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $660

                1 unit = $660 ÷ 4

                           = $165

Step 4: 15 units= 15 x $165

                             =$2475



2)  

Kumutha spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $690 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1656


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$690 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $690


              1 unit = $690 ÷ 5


                         = $138


Step 4: 12 units= 12 x $138


                             =$1656



3)  

Prem spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $846 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $5076


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$846 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $846

Step 4: 6 units= $846 x 6

                       =$5076



4)  

Raj spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $808 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $3030


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$808 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $808

                1 unit = $808 ÷ 4

                           = $202

Step 4: 15 units= 15 x $202

                             =$3030



5)  

Ponnalagu spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $690 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1656


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$690 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $690


              1 unit = $690 ÷ 5


                         = $138


Step 4: 12 units= 12 x $138


                             =$1656



6)  

Raj spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $666 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3996


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$666 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $666

Step 4: 6 units= $666 x 6

                       =$3996



7)  

Kalai spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $516 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $1935


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$516 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $516

                1 unit = $516 ÷ 4

                           = $129

Step 4: 15 units= 15 x $129

                             =$1935



8)  

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 $855 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $2052


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$855 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $855


              1 unit = $855 ÷ 5


                         = $171


Step 4: 12 units= 12 x $171


                             =$2052



9)  

Narayanan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $852 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $5112


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$852 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $852

Step 4: 6 units= $852 x 6

                       =$5112



10)  

Karna spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $828 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $3105


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$828 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $828

                1 unit = $828 ÷ 4

                           = $207

Step 4: 15 units= 15 x $207

                             =$3105