Question 89046: 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 malakumar_kos@yahoo.com(315)   (Show Source):
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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?
Let the cost of 1 MP3 player be = $ X
cost of 5 MP3 players will be = $5X
Let the cost of 1 headphone be = $ y
cost of 8 sets of headphones = $ 8Y
Total cost of 5MP3 and 8 headphones = $840
i.e, 5X+8Y = 840..........eq'n(1)
cost of 3MP3 = $ 3X
cost of 4 sets of headphones = $4Y
Total cost of 3MP3 and 4 headphones = $480
i.e, 3X+4Y = 480..........eq'n(2)
solving eq'n(1) &eq'n(2) multiply eq'n(2) by 2 we get 6X+8Y = 960...(3)
subtract (1) from (3) we get X = 120
substitute for x in 3X+4Y = 480
3(120)+4Y = 480
4y = 480-360 = 120 or Y = 120/4 = 30
Therefore the cost of 1 MP3 player = $ 120
the cost of 1 headphone = $ 30
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