Coin Collection Problem

Sarah is collecting rare coins. She currently has a total of 50 coins made up of dimes and quarters. If the total value of her coins is $10.50, how many dimes does she have?

Let d represent the number of dimes and q represent the number of quarters. You can set up the following system of equations:

• Equation 1: $d + q = 50$
• Equation 2: $0.10d + 0.25q = 10.50$

Using these equations, solve for the number of dimes.