SOLUTION: How many gallons of paint costing $9.30 a gallon should be mixed with 10 gallons of paint costing $12.00 a gallon to product a blend worth$10.20 a gallon ?

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Question 1172278: How many gallons of paint costing $9.30 a gallon should be mixed with 10 gallons of paint costing $12.00 a gallon to product a blend worth$10.20 a gallon ?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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How many gallons of paint costing $9.30 a gallon should be mixed with 10 gallons of paint costing $12.00 a gallon to product a blend worth$10.20 a gallon ?
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How many gallons, u, of paint costing $L a gallon should be mixed with V gallons of paint costing $H a gallon to product a blend worth $T a gallon ?
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Lu%2BHV=T%28u%2BV%29
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Lu%2BHV=Tu%2BTV
HV-TV=Tu-Lu
Tu-Lu=HV-TV
%28T-L%29u=V%28H-T%29
highlight_green%28u=V%28%28H-T%29%2F%28T-L%29%29%29

u=10%28%2812-9.3%29%2F%2810.2-9.2%29%29

highlight%28u=27%29gallons