Problema Solution
Translate the following into a system of equations, then solve it:
A customer walks into an electronics store and buys five MP3 players and eight sets of headphones, paying $840. A second customer buys three MP3 players and four sets of headphones, and pays $480. How much does an MP3 player cost? How much does a set of headphones cost?
Answer provided by our tutors
let
m = the cost of an MP3 player
h = the cost of a set of headphones
A customer walks into an electronics store and buys five MP3 players and eight sets of headphones, paying $840
5m + 8h = 840
A second customer buys three MP3 players and four sets of headphones, and pays $480
3m + 4h = 480
the system of equation is
5m + 8h = 840
3m + 4h = 480
by solving we find
m = $120
h = $30
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The MP3 player the costs $120.
The set of headphones costs $30.