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17 November, 17:19

The ratio of quarters to dimes in a coin collection is 5:3. You add the same number of new quarters as dimes

to the collection. Is the ratio of quarters to dimes still 5 : 3

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Answers (1)
  1. 17 November, 17:30
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    The ratio of quarters to dimes is not still 5 : 3

    Solution:

    Given that ratio of quarters to dimes in a coin collection is 5:3.

    You add same number of new quarters as dimes to the collection.

    Need to check if ratio of quarters to dimes is still 5 : 3

    As ratio of dimes and quarters is 5 : 3

    lets assume initially number of quarters = 5x and number of dimes = 3x.

    Now add same number of new quarters as dimes to the collection

    Let add "x" number of quarters and "x" number of dimes

    So After adding,

    Number of quarters = initially number of quarters + added number of quarters = 5x + x = 6x

    Number of dimes = initially number of dimes + added number of dimes

    = 3x + x = 4x

    New ratio of quarters to dimes is 6x : 4x = 3 : 2

    So we have seen here ratio get change when same number of new quarters and dimes is added to the collection

    Ratio get change from 5 : 3 when same number of new quarters and dimes is added to the collection and new ratio will depend on number of quarters and dimes added to collection.
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