Eric has a jar of quarters and dimes. He had 48 coins in the jar. The total value of the coins is $7.35. How many quarters are.in the jar?
Please help, I'm bad at word problems.
Let the number of quarters equal q, and the number of dimes equal d.
We can say that:
q + d = 48
0.25q + 0.1d = 7.35
By using the method of substitution (nothing to do with sub sandwiches, though I would really like one right now), we can say that:
d = 48 - q
Plug that into the second equation:
0.25q + 0.1(48 - q) = 7.35
0.25q + 4.8 - 0.1q = 7.35
0.15q + 4.8 = 7.35
0.15q = 2.55
q = 17
Therefore, there were 17 quarters.