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8 October, 07:15

A local Best Buy sells 8 times as many iPods as Sears. The difference between their sales is 490 iPods. How many iPods did each sell?

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Answers (1)
  1. 8 October, 07:42
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    Best Buy sells 560 iPods Sears sells 70 iPods

    Explanation:

    You may set a system of equations.

    1. Name the variables:

    B = number of iPods sold by Best Buy S = number of iPods sold by Sears

    2. Translate every verbal statement into a mathematical expression

    a) A local Best Buy sells 8 times as many iPods as Sears.

    B = 8S

    b) The difference between their sales is 490 iPods.

    B - S = 490

    3. Solve the system of equations

    a) Substitute B = 8S into the second equation

    8S - S = 490

    b) Add like terms

    7S = 490

    c) Divide both sides by 7

    S = 70

    d) Substitue S = 70 into B = 8S

    B = 8 (70) = 560

    Solution:

    Best Buy sells 560 iPods Sears sells 70 iPods
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