Oscar bought several bags of lemon drop candy and several bags of jelly beans. The number of bagsof beans was 5 more than the number of bags

Question

Oscar bought several bags of lemon drop candy and several bags of jelly beans. The number of bagsof beans was 5 more than the number of bags of lemon drops. Jelly bean bags weigh 8 ounces, and drop bags weigh 16 ounces each. The total weight of all the bags of candy was 400 ounces.

A. Write and solve a system of equations that allows you to solve for how many bags of each candy Oscar bought Show all of your

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Claire 1 month 2021-10-17T06:52:03+00:00 1 Answer 0 views 0

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    2021-10-17T06:53:24+00:00

    Answer:

    A system of equations that allows you to solve for how many bags of each candy Oscar bought is 16x+8(x+5)=400 and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively

    Step-by-step explanation:

    Let x be the number of bags of lemon drops

    We are given that The number of bags of beans was 5 more than the number of bags of lemon drops

    So, The number of bags of beans =x+5

    Jelly bean bags weigh 8 ounces, and drop bags weigh 16 ounces each.

    So, Weight of x bags of lemon drops = 16x

    So, Weight of (x+5) bags of lemon drops = 8(x+5)

    The total weight of all the bags of candy was 400 ounces.

    So, 16x+8(x+5)=400

    16x+8x+40=400

    24x+40=400

    24x=360

    x=\frac{360}{24}

    x= 15

    The number of bags of lemon drops are 15

    The number of bags of beans =x+5 =15+5=20

    Hence a system of equations that allows you to solve for how many bags of each candy Oscar bought is 16x+8(x+5)=400 and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively

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