You have 59 total coins in a jar on your nightstand at home. The total amount of money is $12.05. You only have quarters and dimes. How many

Question

You have 59 total coins in a jar on your nightstand at home. The total amount of money is $12.05. You only have quarters and dimes. How many of each type of coin do you have? (hint – use a different method to write and solve the system).​

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Thanh Hà 4 years 2021-08-17T03:29:35+00:00 1 Answers 50 views 0

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  1. thuhuong
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    2021-08-17T03:30:52+00:00
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    9514 1404 393

    Answer:

    • 41 quarters
    • 18 dimes

    Step-by-step explanation:

    When there are two contributors to the mix, it usually works well to let a variable represent the quantity of the larger contributor. Here, that larger contributor is the quarter.

    Let q represent the number of quarters. Then 59-q is the number of dimes. The value of the coins, in cents, is …

      25q +10(59 -q) = 1205

      15q +590 = 1205 . . . . . . . . eliminate parentheses, collect terms

      15q = 615 . . . . . . . . . . . subtract 590

      q = 41 . . . . . . . . . . divide by 15

      59-q = 59 -41 = 18 . . . . . number of dimes

    You have 41 quarters and 18 dimes.

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