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28 January, 19:30

A candy store owner has chocolate candies worth $2.00 per pound ad sour candies worth $0.75per pound. how much of each kind should she combine to get. 50 on of mixed candies worth $1.50 per pound (include units with your numerical answers.)

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  1. 28 January, 20:46
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    Let a = number of chocolate candies and b = number of sour candies. That gives us two equations

    2a + 0.75b = 75 (75 is the total weight, since $1.50 * 50 = 75)

    a + b = 50 (Need 50 candies in total)

    a = 50 - b (Solve the second equation for a)

    Now plug a = 50 - b into the first equation and solve for b:

    2 (50 - b) + 0.75b = 75

    100 - 2b + 0.75b = 75

    -1.25b = - 25

    b = 20

    And with b = 20, solve for a:

    a = 30

    Therefore, we will need 30 lbs of chocolate candies and 20 lbs of sour candies
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