Ask Question
10 January, 03:59

Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make $74.35. How many quarters and how many dimes are there in Steve's piggy bank?

+4
Answers (2)
  1. 10 January, 04:06
    0
    There are 211 quarters and 216 dimes

    Explanation:

    To answer this question, we need to properly understand what a dime is and what a quarter is. A quarter is 25 cents while a dime is 10 cents in value.

    Let the number of dimes present be d and the number of quarters present be q.

    We are told that he has 5 more dimes than quarters.

    Mathematically, this means that:

    d - q = 5 or d = q + 5 ... (I)

    The total value there is $74.35. In cents, this has a value of 7435 cents.

    Mathematically:

    25q + 10d = 7435 ... (ii)

    We substitute what we have in 1 in 2

    25q + 10 (q+5) = 7435

    25q + 10q + 50 = 7435

    35q + 50 = 7435

    35q = 7435-50

    35q = 7385

    q = 7385/35

    q = 211

    Recall, d = q + 5; d = 211 + 5 = 216
  2. 10 January, 06:38
    0
    Quarters, $52.75

    Dimes, $21.6

    Explanation:

    For easy solving, we are to assume.

    Let number of quarters = x

    Let number of dimes = x+5

    (it should be noted that this isn't the price, but the number of each. In numerals, essentially)

    0.10 (x+5) + 0.25x = 74.35

    0.10x+0.50+0.25x = 74.35

    0.35x = 73.85, adding moving terms and then dividing both sides by 0.35

    x = 211 quarters, which is $52.75

    x+5 = 216 dimes, which is $21.60

    To cross check our answer, we add $52.75 + $21.60 =

    The total is $74.35
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make $74.35. How ...” in 📙 Business if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers