SOLUTION: a used CD costs $2 less than 2 used cassettes. Find the cost of a used CD and a used cassette if the total cost for two CDs and six cassettes is $46.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a used CD costs $2 less than 2 used cassettes. Find the cost of a used CD and a used cassette if the total cost for two CDs and six cassettes is $46.      Log On


   



Question 434745: a used CD costs $2 less than 2 used cassettes. Find the cost of a used CD and a used cassette if the total cost for two CDs and six cassettes is $46.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = cost of a used CD
Let b = cost of a used cassette
given:
(1) +a+=+2b+-+2+
(1) +a+-+2b+=+-2+
(2) +2a+%2B+6b+=+46+
Multiply both sides of (1) by 3
and add (1) and (2)
(1) +3a+-+6b+=+-6+
(2) +2a+%2B+6b+=+46+
+5a+=+40+
+a+=+8+
And
(1) +a+=+2b+-+2+
(1) +8+=+2b+-+2+
(1) +2b+=+10+
b+=+5
$8 is the cost of a used CD
$5 is the cost of a used cassette