Problema Solution
Cole has 14 coins in his pocket totaling $2.30. His coins are a combination of quarters and dimes, Find the amount of quarters, q, and dimes, d, Cole has in his pocket.
Answer provided by our tutors
Cole has 14 coins thus
q + d = 14
the total value of all coins is $2.30 = 230 cents and 1 dime = 10 cents, 1 quarter = 25 cents
25q + 10d = 230
by solving the system of equations
q + d = 14
25q + 10d = 230
we find
q = 6 quarters
d = 8 dimes
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