Author Rachel1990 in Mathematics, 08.17.2018

A store mixes red fescue worth $12 per pound and chewings fescue worth $16 per pound. The mixture is to sell for $15 per pound. Find out how much of each should be used to make a 552- pound mixture.

Answered by FileT

Answer is: 414 pounds of red fescue and 138 pounds of chewings fescue is needed to produce 552 pounds of mixture.Explanation:x - how much of red fescue is needed for one pound of mixturey - how much of chewings fescue is needed for one pound of mixturex*12+ y*16 = 15x + y = 1so, x=1-yputting it into first line:(1-y)*12 + y*16 = 1512 - 12*y + 16*y = 154*y = 3y=3/4so, x= 1-3/4; x=1/4So to produce 552 pounds of mixture we need..To produce 1 pound of mixture we need: 3/4 pound of red fescue and 1/4 pound of chewing fescue so to produce 552 pounds of miture we need:552*3/4 - red fescue, which is 414 pounds neededand552/4 - chewings fescue, which is 138 pounds needed

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