SOLUTION: Pete's coffee shop makes a blend that is a mixture of two types of coffee. Type a coffee cost Pete $4.65 per pound and type B coffee cost five dollars .95 cents per pound this mont

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Question 1047197: Pete's coffee shop makes a blend that is a mixture of two types of coffee. Type a coffee cost Pete $4.65 per pound and type B coffee cost five dollars .95 cents per pound this month Pete made 179 pounds of the blend for a total cost of $955.85 how many pounds of type a coffee did he use
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of type A coffee needed
Let +b+ = pounds of type B coffee needed
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(1) +a+%2B+b+=+179+
(2) +4.65a+%2B+5.95b+=+955.85+
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(2) +465a+%2B+595b+=+95585+
Multiply both sides of (1) by +465+
and subtract (1) from (2)
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(2) +465a+%2B+595b+=+95585+
(1) +-465a+-+465b+=+-83235+
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+130b+=+12350+
+b+=+95+
and
(1) +a+%2B+b+=+179+
(1) +a+%2B+95+=+179+
(1) +a+=+84+
He used 84 pounds of type A coffee
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check:
(2) +4.65%2A84+%2B+5.95%2A95+=+955.85+
(2) +390.6+%2B+565.25+=+955.85+
(2) +955.85+=+955.85+
OK