SOLUTION: Nature drinks wants to combine orange juice they sell for $0.09 per ounce with guava juice they sell for $0.14 per ounce to create an orange-guava drink. How many ounces of orange

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Question 1049253: Nature drinks wants to combine orange juice they sell for $0.09 per ounce with guava juice they sell for $0.14 per ounce to create an orange-guava drink. How many ounces of orange juice should they use to create a 16-ounce drink that would sell for $1.74?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = ounces of orange juice needed
Let +b+ = ounces of guava juice needed
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(1) +a+%2B+b+=+16+
(2) +.09a+%2B+.14b+=+1.74+
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(2) +9a+%2B+14b+=+174+
Multiply both sides of (1) by +9+ and
subtract (1) from (2)
(2) +9a+%2B+14b+=+174+
(1) +-9a+-+9b+=+-144+
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+5b+=+30+
+b+=+6+
and
(1) +a+%2B+6+=+16+
(1) +a+=+10+
10 ounces of orange juice is needed
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check:
(2) +.09a+%2B+.14b+=+1.74+
(2) +.09%2A10+%2B+.14%2A6+=+1.74+
(2) +.9+%2B+.84+=+1.74+
(2) +1.74+=+1.74+
OK