SOLUTION: a television addict can buy either two televisions and three video recorders for $1750 or four televisions and one video recorder for $1250. find the cost of one of each.

Question 98967: a television addict can buy either two televisions and three video recorders for $1750 or four televisions and one video recorder for $1250. find the cost of one of each.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a television addict can buy either two televisions and three video recorders for $1750 or four televisions and one video recorder for $1250. find the cost of one of each.
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Let cost of TV's be "t"; Let cost of VCR's be "v"
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EQUATIONS:
1st: 2t+3v=1750
2nd: 4t+ v=1250
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Multiply 1st be 2 to get:
3rd: 4t+6v=3500
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Subtract 2nd from 3rd to get:
5v = 2250
v = 450 (cost of a Video Recorder)
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Substitute into 2t+3v=1750 to solve for "t":
2t+3*450=1750
2t+1350 = 1750
2t = 400
t = 200 (cost of a TV)
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Cheers,
Stan H.

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