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Select the equation that solves this problem:
Eight coins (dimes and quarters) are worth 170 cents. How many dimes are
there?
a. 10d + 25(11 - d) = 170
b. 10d + 25(8 - d) = 170
c. 10d + 5(8 - d) = 60
d. 10d + 5(11 - d) = 60

  • math -

    So what do you think?

  • math -

    I send to you solution for simmilar problem.

  • math -

    A quarters is worth 25 cents and a dime is worth 10 cents.


    q = numbers of a quarters

    d = numbers of a dimes


    q + d = 8

    q = 8 - d


    Value of money :

    10 ¢ * d + 25 ¢ * q = 170 ¢

    10 d + 25 q = 170

    10 d + 25 ( 8 - d ) = 170


    Equation b.


    10 d + 25 ( 8 - d ) = 170

    10 d + 25 * 8 + 25 * ( - d ) = 170

    10 d + 200 - 25 d = 170

    10 d - 25 d = 170 - 200

    - 15 d = - 30 Divide both sides by - 15

    d = - 30 / - 15

    d = 2


    q = 8 - d = 8 - 2 = 6


    2 dimes and 6 quarters


    2 * 10 ¢ + 6 * 25 ¢ =

    20 ¢ + 150 ¢ = 170 ¢

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