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2 December, 04:28

After five tests Allison's average score was 88. After six tests her average score had increased to 90. What was her score on the sixth test?

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Answers (2)
  1. 2 December, 05:57
    0
    100

    Step-by-step explanation:

    After five test, Allison's average score was 88. Let the total of her score be x

    x/5=88

    Cross multiply

    x=88 (5)

    x=440

    The total scores of the five test was 440.

    After the sixth test, her acreage score became 90. Let the total score again be x

    x/6=90

    Cross multiply

    x=90 (6)

    x=540

    The sixth score is 540-440=100
  2. 2 December, 07:51
    0
    Sixth test was 100

    Step-by-step explanation:

    5 tests average is 88 - An equation for the average is ...

    5x/5 = 88 (where x is 88) so it can also be 440/5 = 88 and this is correct

    The sixth test has to be greater than 88 as the average increases; an equasion for this is ...

    Let y = the sixth test result

    Let x = the previous average; 88

    (5x + y) / 6 = 90 (the new average)

    5x + y = 540

    As said before 5x = 440 so we can substitude 440 into 5x

    440 + y = 540 (-440)

    y = 100

    So, the equation shows that the 6th test result is 100 but we should check to see if this is correct so ...

    440 + 100 = 540

    540 / 6 = 90 (so we are correct!)
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