SOLUTION: Dandy Candy Co. mixes candy that costs $9 per pound with candy that costs $6.50 per pound. How many pounds of each are needed to make a 3-pound box that costs $25?

Question 244686: Dandy Candy Co. mixes candy that costs $9 per pound with candy that costs $6.50 per pound. How many pounds of each are needed to make a 3-pound box that costs $25?
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
Dandy Candy Co. mixes candy that costs $9 per pound with candy that costs $6.50 per pound. How many pounds of each are needed to make a 3-pound box that costs $25?
pounds candy A=x, pounds candy B=y
9x+6.5y=25
x+y=3
x+y=3, solve for y
y=3-x
plug into 9x+6.5y=25 and solve for x
9x+6.5(3-x)=25
9x+19.5-6.5x=25
9x-6.5x=25-19.5
2.5x=5.5
x=5.5/2.5=55/25=11/5=2.2
plug 2.2 into x+y=3 and solve for y
2.2+y=3
y=3-2.2=0.8
2.2 pounds candy A and 0.8 pounds candy B

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