SOLUTION: A grocer mixes cookies worth P89 a pound with cookies worth P99 a pound making a mixture to sell at P93 a pound. If he mixes 50 pounds, how many pounds of each kind does he use

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Question 721619:
A grocer mixes cookies worth P89 a pound with cookies worth P99 a pound making a mixture to sell at P93 a pound. If he mixes 50 pounds, how many pounds of each kind does he use?

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
.89X+.99(50-X)=.93*50
.89X+49.50-.99X=46.50
.10X=46.50-49.50.
.10X=3.00
X=3.00/.10
X=30 POUNDS OF $.89 COOKIES.
50-30=20 POUNDS OR $.99 COOKIES.
PROOF:
.89*30+.99*20=.93*50
26.70+19.80=46.50
46.50=46.50