FINDING THE WHOLE GIVEN A PART AND A PERCENT WORKSHEET

Problem 1 : 

Twelve of the students in the school choir like to sing solos. These 12 students make up 24% of the choir. How many students are in the choir ?

Problem 2 : 

There are 12 girls in a class and these girls make up 40% of the total students. How many students are in the class in total ?

Problem 3 : 

240 televisions of a store are are high definition. These 240 televisions make up 80% of the televisions. How many televisions are in the store ?

Problem 1 : 

Twelve of the students in the school choir like to sing solos. These 12 students make up 24% of the choir. How many students are in the choir ?

Solution :

Step 1 :

Since we want to know the total number of students in the choir, compare the part to the whole.

Step 2 :

Write a proportion comparing the percent to the ratio of part to whole.

We know that 12 students represent 24%.

Step 3 :

Find the multiplication factor.

Since 12 x 2 = 24, find what number times 2 is equal to 100.

Step 4 :

Find the denominator.

12/50  =  24/100

(Since 50 · 2  =  100, the denominator is 50)

Hence, there are 50 students in the choir.

Problem 2 : 

There are 12 girls in a class and these girls make up 40% of the total students. How many students are in the class in total ?

Solution :

Let us use multiplication method to find the whole.

Step 1 :

In multiplication method, the formula is

Whole  =  (Part / Percent) x 100 -----(1)

Step 2 :

From the given information, the part is 12 and the percent is 40.

Then, we have

(1)------------ > Whole  =  (12/40) x 100 %

Whole  =  30

Hence, there are 30 students in the class in total. 

Problem 3 : 

240 televisions of a store are are high definition. These 240 televisions make up 80% of the televisions. How many televisions are in the store ?

Solution :

Let us use multiplication method to find the whole.

Step 1 :

In multiplication method, the formula is

Whole  =  (Part / Percent) x 100 -----(1)

Step 2 :

From the given information, the part is 240 and the percent is 80.

Then, we have

(1)------------ > Whole  =  (240/80) x 100 %

Whole  =  300

Hence, there are 300 televisions in the store in total. 

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