Samuel has a collection of toy cars. His favorites are the 27 red ones which make up 60% of his collection. How many toy cars does Samuel have?

Question

This problem is a basic algebra percentage problem.Samuel has a collection of toy cars. His favorites are the 27 red ones which make up 60% of his collection. How many toy cars does Samuel have?

Answer 1

The 27 red cars make up 60% of the total collection, here is the equation

to be solved:

 

          27 = 60% of C                         C is the total cars in the collection

 

          27 = .60 C

 

  27 / .60 = C

 

          45 = C

 

There are 45 cars in the collection

 

 

Answer 2

I would set this up as a proportions problem.

 

27 → x

60 → 100

 

x = 27*100/60 = 45

 

He has 45 cars.  Test the answer.  Is 27 = 60% of 45?

 

0.60*45 = 27 (good)