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27 February, 10:29

Damasko asked Sophia to choose a number between 1 and 20. He told her to add 7 to that number, multiply by 4, subtract 6 and divide by 2. Sophia's final number was 35. What was her original number? a. 30 c. 12 b. 15 d. 3

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  1. 27 February, 10:43
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    12

    Step-by-step explanation:

    Let n = number

    Add 7

    n+7

    Multiply by 4

    4 (n+7)

    Subtract 6

    4 (n+7) - 6

    Then divide by 2

    (4 (n+7) - 6) / 2

    This is equal to 35

    (4 (n+7) - 6) / 2 = 35

    Multiply each side by 2

    (4 (n+7) - 6) / 2 * 2=35*2

    (4 (n+7) - 6) = 70

    Add 6 to each side

    4 (n+7) - 6+6 = 70+6

    4 (n+7) = 76

    Divide each side by 4

    4 (n+7) / 4 = 76/4

    n+7 = 19

    Subtract 7 from each side

    n+7-7 = 19-7

    n = 12
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