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word problem

a store mixes kentucky blue grass worth $11 per pound and ryegrass worth $14 per pound. the mixture is to sell for $13 per pound. How much of each should be used to make a 204 pound mixture?
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1 Answer

let x=# of pounds of bluegrass
let 204-x=# of pounds of ryegrass
11(x)+14(204-x)=13(204)
11x+2856-14x=2652
-3x+2856=2652
-3x=2652-2856
-3x=-204
x=68 pounds of bluegrass
204-68=136 pounds of ryegrass
check:11(68)+14(136)=748+1904=$2652
13(204)=$2652