Kyle and josh have a total of 64 CDs. Kyle has 12 more CDs than josh. How many CDs does each boy have?

Work Shown:

K = number of CDs Kyle has

J = number of CDs Josh has

K+J = 64 because they have 64 CDs combined

K = J+12 since Kyle has 12 more CDs than Josh does.

We will use substitution to eliminate one variable

K+J = 64

J+12+J = 64 ... replace K with J+12. This is valid because K = J+12

2J+12 = 64

2J+12-12 = 64-12 ... subtract 12 from both sides

2J = 52

2J/2 = 52/2 divide both sides by 2

J = 26

Josh has 26 CDs

Use this to find the value of K

K = J+12

K = 26+12

K = 38

Kyle has 38 CDs

As a check, add up the amounts Kyle and Josh has to get

K+J = 38+26 = 64

So this confirms the answer.

$649.60

step-by-step explanation: