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11 September, 09:49

Aaron had seven times as many sheep a beth, and both together they had 608. How many sheep did each have

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  1. 11 September, 10:15
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    Step-by-step explanation:

    First, set up your problem:

    (1) a = 7b from "Aaron has 7 times as many sheep as Beth"

    (2) a + b = 608 from "both together had 608"

    We can choose either equation to start with and solve for one of the two variables. Starting with equation (2), add = b to both sides:

    a + b = b = 608 - b

    So a = 608 - b

    Substitute back into equation (1) replacing a with 608 - b:

    608-b = 7b

    Now we solve for b. First add b to both sides:

    608 - b + b = 7b + b

    Therefore:

    608 = 8b

    Divide both sides by 8 to get:

    b = 608/8 = 76

    Now substitute back into equation (1):

    a = 7 * 76 = 532

    So the final answer is

    a = 532, Aaron had 532 sheep

    b = 76, Beth had 76 sheep
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