SOLUTION: Hi, I need help with the following: Translate the following into a system of equations, then solve it:A customer walks into an electronics store and buys five MP3 players and e

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Question 151789: Hi,
I need help with the following:
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 by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Let us see the situations:
1st customer:
5MP+8HP=$840 ----------------> eqn 1
2nd customer:
3MP+4HP=$480 ----------------> eqn 2
In eqn 2 we get, HP=%28480-3MP%29%2F4 and substitute in eqn 1:
5MP%2Bcross%288%292%28480-3MP%29%2Fcross%284%29=840
5MP%2B960-6MP=840
960-840=6MP-5MP
MP=120 ----------------------> cost of an MP3 player
For Head phones set, go back eqn 2:
3%2A120%2B4HP=480
HP=%28480-360%29%2F4
HP=30
In doubt? Go back eqn 1:
5%28120%29%2B8%2830%29=840
600%2B240=840
840=840
Thank you,
Jojo