math

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. There were 4 more large boxes shipped than small boxes and the total weight of all boxes was 1750 pounds. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

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  1. s = small boxes , g = large boxes

    g = s + 4

    80 g + 50 s = 1750

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  2. Step-by-step explanation:

    Let x be the number of small boxes and let y be the number of large boxes

    According to the first statement, a total of 21 boxes were shipped
    Equation 1 will be:
    x+y=21

    According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70
    Equation 2 will be:
    25x+70y=1110

    Use the substitution method for solving the equation

    Putting the value of x in equation 2
    25(21-y) +70y =1110
    525-25y+70y = 1110
    45y = 585
    Y=13

    Putting the value of y in equation 1
    x+13 = 21
    X = 8

    Number of small boxes shipped = 8
    Number of large boxes shipped = 13

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