Two brothers went shopping at a back to school sale where all shirts and shorts are the same price. The younger brother spent $175 on 7 new

Question

Two brothers went shopping at a back to school sale where all shirts and shorts are the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Write the system of equations for this problem.

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Khang Minh 5 months 2021-08-26T01:05:20+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-08-26T01:06:32+00:00

    Answer:

    Each shirt costs $ 10, while each short costs $ 15.

    Step-by-step explanation:

    Since two brothers went shopping at a back to school sale where all shirts and shorts are the same price, and the younger brother spent $ 175 on 7 new shirts and 7 pairs of shorts while the older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $ 165, to determine the price of each shorts and each shirt the following system of equations must be considered:

    Shirt = X

    Short = Y

    7X + 7Y = 175

    6X + 7Y = 165

    7X – 6X + 7Y – 7Y = 175-165

    X = 10

    7×10 + 7Y = 175

    70 + 7Y = 175

    7Y = 175 – 70

    Y = 105/7

    Y = 15

    Thus, each shirt costs $ 10, while each short costs $ 15.

    0
    2021-08-26T01:06:50+00:00

    Answer:

     

    3x + 4y =108

    7x + 5y =114

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