A store sells cookies for $6 and candies for $4 each. If the customer bought 8 items for $36 how many cookies and candies did he get?

Question

cookies $6

candies $4

total money spent $36 

Total items bought 8

Answer 1

Let x = number of cookies

Let y = number of candies

 

Set up two equations.

 

x + y = 8             eq1

6x + 4y = 36        eq2

 

Substitute eq1 into eq2.  We will get eq2 in terms of x.

 

6x + 4(8 - x) = 36

6x + 32 - 4x = 36

2x + 32 = 36

2x = 4

  x = 2

 

Substitute this value of y into eq1.

 

y = 8 - x

y = 8 - 2

y = 6

 

The customer bought 2 cookies and 6 candies.