Final answer:
To find the number of quarters and nickels, set up equations based on the information given and solve for the variables.
Step-by-step explanation:
Let's use variables to represent the number of quarters and nickels. Let's say q represents the number of quarters and n represents the number of nickels. We know that the total value of the quarters and nickels is $4.75. Since each quarter is worth $0.25 and each nickel is worth $0.05, we can set up the equation:
0.25q + 0.05n = 4.75
We also know that the number of nickels is five more than the number of quarters. So we can set up another equation:
n = q + 5
Now we can substitute n in the first equation with q + 5:
0.25q + 0.05(q + 5) = 4.75
Simplifying and solving this equation will give us the values of q and n.
Learn more about Solving equations for unknown variables