# Sue plans to mix pepper mints worth $1.20 per lb with chocolates worth $2.40 per lb to get a 40 lb mix that is worth $1.65 per lb. How much of each should she use?

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by jiggynut055

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by jiggynut055

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'y' be the amount of chocolates ($2.40 per pound)

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-The whole mixture amounts to 40 lbs.

x + y = 40 ----------equation 1

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-The mix is $1.65 per pound

1.2x + 2.4y = 40(1.65)

1.2x + 2.4y = 66 ----equation 2

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From equation 1

x + y = 40

x = 40 - y ----equation 3

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Substitute equation 3 to equation 2

1.2x + 2.4y = 66

1.2(40-y) + 2.4y = 66

48 - 1.2y + 2.4y = 66

-1.2y + 2.4y = 66 - 48

1.2y = 18

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Substitute y=15 to equation 3

x = 40 - y

x = 40 - 15

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Therefore 15 lbs of chocolates and 25 lbs of pepper mints will be used.