Ask Question
11 May, 07:07

Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have?

+2
Answers (1)
  1. 11 May, 07:32
    0
    Let’s make two equations. D being dimes and Q being quarters.

    D+Q=100

    0.1d+0.25q=14.05

    Now, let’s multiply the first equation by - 0.10 so that we can cancel out D.

    -0.1D-0.1Q=-10

    0.1d+0.25q=14.05

    Let’s solve

    0.15Q=4.05

    Let’s divide.

    Q=27

    So there’s 27 Quarters. Since there are 100 in total, there must be 73 dimes.

    Let’s make sure this adds up.

    0.25 (27) + 0.1 (73)

    6.75+7.30

    14.05

    So there’s 27 Quarters.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers