Question

janie has 196 rock and country cd's that she listens to at home if there are 76 more rock cd's than country cds how many of each type of CD does she own

Answer 1

There are 60 Country CDs and 136 Rock CDs.

Rock and country CDs = 196

Country CD = x
Rock CD = x + 76

Country CD + Rock CD = 196
x + (x + 76) = 196
2x = 196 - 76
2x = 120
2x / 2 = 120 / 2
x = 60   * number of Country CD

Rock CD = x + 76 = 60 + 76 = 136 

To check:
Country + Rock = 196
60 + 136 = 196
196 = 196