Math Word problem
posted by Anonymous .
Ken and Ben were both saving money to buy a TV. Ken was $255 short of the amount needed and Ben was $315 short of the amount needed to buy the TV. If they combined their money, they had eaxctly enough to buy one TV. how much did the TV cost?

If they have enough together to buy a tv, then Ken must be short exactly what Ben has, and viceversa. So, a tv costs 255+315 = 570.
or, algebraically, since a TV costs as much as they have together,
k = (k+b)255
b = (k+b)315
(k,b) = (315,255)
tv = k+b = 570
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