Description
Noahs cafe sells special blends of coffee mixtures. noah wants to create a 20-pund mixture with coffee that sells for $9.20 per pound and coffee that sells for $5.50 per pound. how many pounds of each picture should he blend to create a coffee that sells for $6.98 per pound?
Explanation & Answer
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Let x = pounds of coffee that sells for $9.20 per pound
Let y = pounds of coffee that sells for 5.50 per pound
Then,
x + y = 20
and
9.20x + 5.50y = 6.98(20) = 139.60
Since x + y = 20, then y = 20 - x
Now substitute
9.20x + 5.50(20 - x) = 139.60
9.20x + 110 - 5.50x = 139.60
3.7x = 29.60
x = 29.60/3.7 = 8 pounds of coffee that sells for $9.20 per pound
y = 20 - 8 = 12 pounds of coffee that sells for $5.50 per pound
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