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Alycia opens her piggy bank to find quarters and dimes inside. She counts the coins and finds that she has 56 coins total
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Alycia opens her piggy bank to find quarters and dimes inside. She counts the coins and finds that she has 56 coins total
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Question 1069785: Good morning tutor!
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Alycia opens her piggy bank to find quarters and dimes inside. She counts the coins and finds that she has 56 coins totaling $7.25. How many quarters were in the piggy bank, and how many dimes were in there?
Thank you so much! Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! .
Alycia opens her piggy bank to find quarters and dimes inside. She counts the coins and finds that she has 56 coins totaling $7.25.
How many quarters were in the piggy bank, and how many dimes were in there?
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Let Q be the number of quarters.
Then the number of dimes is 56-Q.
Quarters contribute 25Q cents to the total.
Dimes contribute 10*(56-Q) cents to the total.
Your "value" equation is
25Q + 10*(56-Q) = 725 cents.
Simplify it and solve for Q:
25Q + 560 - 10Q = 725,
15Q = 725 - 560,
15Q = 165 ---> Q = = 11.
Answer. 11 quarters and 56-11 = 45 dimes.
Check. 10*45 + 11*25 = 725 cents. Correct !!
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