Problema Solution
The cost of eleven CDs and twelve DVDs is $150.62; and the cost of one DVDs and twelve CDs is $116.07. How much do a CD and a DVD cost?
Answer provided by our tutors
let x be the cost of a single CD
let y be the cost of a single DVD
then 11x + 12y = 150.62
and y + 12x = 116.07
all we have do is calculate x and y
we will do this by the process of elimination
multiply the bottom equation by 12
so we have the two equations now looking like this:
11x + 12y = 150.62
12y + 144x = 1392.84
subtract the top from the bottom
that leaves us with:
144x-11x=1392.84 - 150.62
133x = 1242.22
x=9.34
substitute this value of x into either of the two equations at the top to find y:
11(9.34) + 12y = 150.62
12y = 47.88
y=3.99
cost of a CD is $9.34
cost of a DVD is $3.99