How many pounds of raisins worth $1.50 per pound must be mixed with 10 pounds of peanuts worth $1.20 per pound to produce a mixture worth $1.40 per pound?

Question

Mathematics

Jordan Russell

9 April, 03:10

How many pounds of raisins worth $1.50 per pound must be mixed with 10 pounds of peanuts worth $1.20 per pound to produce a mixture worth $1.40 per pound?

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Answers (1)

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Kamila Hartman · Answer 1

Your mixture of raisins and peanuts is worth $1.40/lb.

You can determine the pounds of raisins from the given information by creating an equation like this:

(lbs raisins) ($1.50/lb) + (10lbs peanuts) ($1.20/lb) = (lbs raisins + 10lbs peanuts) ($1.40/lb)

which looks like this:

1.5r + 12 = 1.4r + 14

r = 20

You need 20 lbs of raisins for your mixture.