Question 74507: If 2 ipods and 3 movie downloads cost $31
If 2 ipods and 2 movie downloads cost $29
What is the cost of each?
use x for ipods and y for downloads.
Answer by chitra(359)  (Show Source):
You can put this solution on YOUR website! Here is the solution to the question that you have posted.
Given that 2 i - pods and 3 movie downloads equals $31
2 i - pods and 2 movie downloads equals $29
Let the number of i - pods be represented by "x" and the movie downloads be represented by "y"
Forming the linear equation, with the given data we get:
2x + 3y = $31
2x + 2y = $29 [subtracting we get]
-----------------
0x + 1y = $2
Hence, y = $2
That is the cost of one movie download is $2
Now substituting this in any one of the linear equations, we get:
2x + 3(2) = $31
==> 2x + 6 = $31
==> 2x = 31 - 6
==> 2x = 25
==> x = 
==> x = $ 12.5
Hence, the cost of one i - pod is $12.5
Hence, the cost of one i - pod and one movie download is:
x = $ 12.5 and y = $2
Hence, the solution.. :))
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