Ask Question
17 February, 10:03

Patricio has a collection of dimes and quarters. overall he has 51 coins and their total value is $10.35. how many quarters and how many dimes does he have?

+3
Answers (2)
  1. 17 February, 10:09
    0
    Answer:.25x 41 = 10.25

    .10 + 10.35
  2. 17 February, 10:27
    0
    35 quarters and 16 dimes.

    ---

    Why?

    Let d represent the number of dimes Patricio has.

    So, that means 51 - d is equal to the number of quarters he has.

    Now, since we know the total value of all his coins is $10.35, we can put this into an equation.

    The value of all his dimes is 0.1d, and the value of all his quarters is 0.25 (51 - d). It's all equal to $10.35.

    -> 0.1d + 0.25 (51 - d) = 10.35

    Let's solve. First, distribute 0.25 to the two terms in the bracket.

    -> 0.1d + 12.75 - 0.25d = 10.35

    Now, put all terms with d on the left and other numbers on the right.

    -> 0.1d - 0.25d = 10.35 - 12.75

    Combine like terms.

    -> - 0.15d = - 2.4

    Multiply each side by - 1 to get rid of their negative values.

    -> 0.15d = 2.4

    Now, divide each side by 0.15 to isolate d.

    -> d = 16

    So, the number of dimes Patricio has is equal to 16. And we said the number of quarters he has is equal to 51 - d, or 51 - 16. So, let's solve for the number of quarters.

    -> 51 - 16 = 35

    Therefore, he has 35 quarters and 16 dimes.

    ---

    Check:

    35 + 16 = 51.

    The number of coins he has is correct.

    35 (0.25) + 16 (0.1) = 10.35

    8.75 + 1.6 = 10.35

    10.35 = 10.35

    So, the amount of each coin he has is correct as well.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Patricio has a collection of dimes and quarters. overall he has 51 coins and their total value is $10.35. how many quarters and how many ...” 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