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20 February, 22:06

A sporting goods store has added a section with trail foods and snacks. Raisins cost $5.00 per pound and peanuts cost $3.80 per pound. Raisins and peanuts are going to be sold in a mixture of 30 pounds which will cost $4.05 per pound. How many pounds of raisins will be in the mix?

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  1. 20 February, 22:19
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    Let's find the total cost of the mixture.

    4.05*30

    121.50

    r=raisins; p=peanuts.

    We need to make a system of equations.

    r+p=30; this represents the pounds.

    5r+3.8p=121.50; this represents the cost.

    We can multiply the first equation by - 5 to eliminate r.

    -5r-5p=-150

    5r+3.8p=121.50

    -1.2p=-28.5

    Let's divide.

    -28.5:-1.2

    P=23.75

    If there are 23.75 pounds of peanuts, there has to be 6.25 pounds of raisins. Let's check.

    23.75 (3.80) + 6.25 (5)

    90.25+31.25

    121.5

    So, there will be 6.25 pounds of raisins.
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