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26 January, 12:45

A parent rewards a child with 50 cents for each correctly solved mathematics problem and fines the child 30 cents for each incorrectly solved problem. if the child nets $22.00 after 100 problems. how many problems were solved correctly?

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  1. 26 January, 13:39
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    x = correct answer

    y = incorrect answer

    0.50x-0.30 (100-x) = 22.00

    0.50x-30.00+0.30x=22.00

    0.80x=22.00+30.00

    0.80x=52.00

    x=52.00/0.80

    x = 65

    y=100-65 = 35

    0.5x65 = 32.50

    35*0.30=10.5

    32.5-10.5 = 22

    there were 65 correct answers
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