SOLUTION: At a health food store, dried apple slices $1.80/lb. are mixed with dried banana slices that cost $2.10/lb. If the mixture weighs 5 lb. and costs $1.92 lb., how many pounds of appl

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: At a health food store, dried apple slices $1.80/lb. are mixed with dried banana slices that cost $2.10/lb. If the mixture weighs 5 lb. and costs $1.92 lb., how many pounds of appl      Log On

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Question 644533: At a health food store, dried apple slices $1.80/lb. are mixed with dried banana slices that cost $2.10/lb. If the mixture weighs 5 lb. and costs $1.92 lb., how many pounds of apple slices were used?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of apple slices used
Let +b+ = pounds of banana slices used
given:
(1) +1.8a+%2B+2.1b+=+5%2A1.92+
(2) +a+%2B+b+=+5+
---------------
(2) +b+=+5+-+a+
Substitute (2) into (1)
(1) +1.8a+%2B+2.1%2A%28+5+-+a+%29+=+5%2A1.92+
(1) +1.8a+%2B+10.5+-+2.1a+=+9.6+
(1) +1.8a+-+2.1a+=+9.6+-+10.5+
(1) +-.3a+=+-.9+
(1) +a+=+3+
3 pounds of apple slices were used
check:
(2) +a+%2B+b+=+5+
(2) +b+=+2+
and
(1) +1.8%2A3+%2B+2.1%2A2+=+5%2A1.92+
(1) +5.4+%2B+4.2+=+9.6+
(1) +9.6+=+9.6+
OK