Problema Solution
Alycia opens her piggy bank to find only quarters and dimes inside. She counts the coins and finds that she has 49 coins totaling $8.50. How many quarters were in the piggy bank, and how many dimes were in there?
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
Let
d = the number of dimes, d>0, d is integer
q = the number of quarters, q>0, q is integer
She has 49 coins totaling $8.50 = 850 cents ($1 = 100 cents):
d + q = 49
10d + 25q = 850
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click here to see the equation solved for d and q
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d = 25 dimes
q = 24 quarters
There were 24 quarters and 25 dimes in the piggy bank.