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Math Help - ratio

  1. #1
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    ratio

    The cost of 3 dings is the same as the cost of 5 bings, and 8 bings cost five times
    as much as 7 lings. What is the ratio of the cost of a ling to the cost of a ding?
    Express your answer as a common fraction.
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  2. #2
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    Quote Originally Posted by sri340 View Post
    The cost of 3 dings is the same as the cost of 5 bings, and 8 bings cost five times
    as much as 7 lings. What is the ratio of the cost of a ling to the cost of a ding?
    Express your answer as a common fraction.
    x=cost of a ding
    y=cost of a bing
    z=cost of a ling

    3x=5y\ \Rightarrow\ \frac{y}{x}=\frac{3}{5}

    8y=(5)7z\ \Rightarrow\ \frac{z}{y}=\frac{8}{35}

    \frac{z}{x}=\frac{z}{y}\ \frac{y}{x}=\frac{8}{35}\ \frac{3}{5}=\frac{24}{175}
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