Question 888601
A man bought 2 pounds of coffee and 1 pound of butter for a total of $11.25. A month later, the prices had not changed (this makes it a fictitious problem), and he bought 5 pounds of coffee and 2 pounds of butter for $26.50. Find the price per pound of both the coffee and the butter.
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let x=price/lb of coffee
let y=price/lb of butter
..
2x+y=11.25
5x+2y=26.50
..
4x+2y=22.50(mult. 1st eq by 2)
5x+2y=26.50
subtract
x=4
y=11.25-2x=3.25
price/lb of coffee=$4.00
price/lb of butter=$3.25