Answer:
\(15\) quarters and \(3\) dimes.
Step-by-step explanation:
In this question, it is given that a total of \(18\) quarters (\(0.25\) dollars each) and dimes (\(0.10\) dollars each) add up to a value of \(4.05\) dollars. The goal is to find the number of each type of coins.
Let \(x\) denote the number of quarters. There would be \((18 - x)\) dimes since there were a total of \(18\) coins. The total value of the coins is \(4.05\), meaning that:
\((0.25)\, x + (0.1)\, (18 - x) = 4.05\).
Rearrange this equation and solve for \(x\):
\(0.15\, x = 2.25\).
\(x = 15\).
In other words, there would be \(15\) quarters and \((18 - 15) = 3\) dimes.
