Mr. Sanchez’s class sold snickers for 1.50 each and Mr. Kelly’s class sold bottles of fruit juice for 1.26 each. Together, the classes sold

Question

Mr. Sanchez’s class sold snickers for 1.50 each and Mr. Kelly’s class sold bottles of fruit juice for 1.26 each. Together, the classes sold 82 items and earned $115.56 for their school.

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Aaliyah 2 weeks 2021-09-27T05:03:55+00:00 1 Answer 0

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    2021-09-27T05:05:51+00:00

    Mr. Sanchez’s class sold 51 snickers and Mr. Kelly’s class sold 31 bottles of fruit juice.

    Step-by-step explanation:

    Step 1:

    Assume x is the number of snickers sold and y is the number of fruit juices sold. It is given that both the classes sold 82 items in total. so

    x + y = 82, take this as equation 1.

    It is also given they both earned $115.56 out of which snickers sold for $1.50 each and fruit juice sold for $1.26 each. So,

    1.50x + 1.26y = 115.56, take this as equation 2.

    Step 2:

    Now we solve these equations.

    Equation 1 can also be, y = 82 - x, take this as equation 3.

    Substitute equation 3 in 2,

    1.50x + 1.26(82-x) = 115.56,

    1.50x + 103.32-1.26x=115.56.

    Taking the known values to the right and keeping the unknown x values on the right, we get

    0.24x = 115.56-103.32 = 12.24

    0.24x = 12.24, x = 51.

    Substitute this is equation 1,

    x + y = 82, y = 82 - x, y = 82 - 51 = 31.

    So Mr. Sanchez’s class sold 51 snickers and Mr. Kelly’s class sold 31 bottles of fruit juice.

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