Problema Solution
Jamal has 18 coins consisting of dimes and quarters. The total value of the coins is $3.45. How many dimes and how many quarters does Jamal have?
Answer provided by our tutors
1 quarter = 25 cents = $0.25
1 dime = 10 cents = $0.10
Let
q = the number of quarters
d = the number of dimes
Jamal has 18 coins means:
q + d = 18
Altogether the coins are $3.45 = 345 cents:
25q + 10d = 345
We have the following system of equations:
q + d = 18
25q + 10d = 345
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click here to see the system of equations solved for q and d
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q = 11 quarters
d = 7 dimes
Jamal has 11 quarters and 7 dimes.