Two cassettes and three cd's cost $175 while four cassettes and one cd cost $125.

1)Given that one cassette cost $x and one cd cost $y,write two equations in x and y to represent this information.

2)Calculate the cost of one cassette.

4 answers

1. just translate the English into Math

"Two cassettes and three cd's cost $175" ---> 2x + 3y = 175

"four cassettes and one cd cost $125" ---> 4x + y = 125

2. double the first equation

4x + 6y = 350 then subtract the second
4x + y = 125
-------------
5y = 225
y = 45

back in the second
4x + 45 = 125
4x = 80
x = 20

(expensive cassettes and CDs)

2x+3y

Calculate the cost of 1CD