Answer:
There are 12 quarters and 8 nickels.
Explanation:
Let's use the following variables to represent the number of quarters and nickels, respectively:
q = number of quarters
n = number of nickels
From the problem, we know that:
There are a total of 20 coins, so q + n = 20.
The value of the coins is $3.60, or 360 cents. Since each quarter is worth 25 cents and each nickel is worth 5 cents, we can write the equation: 25q + 5n = 360.
We can use the first equation to solve for one variable in terms of the other. For example, we can rearrange it to get:
n = 20 - q
Substituting this expression for n into the second equation, we get:
25q + 5(20 - q) = 360
Simplifying and solving for q, we get:
20q = 260
q = 13
So there are 13 quarters. Using the first equation, we can find the number of nickels:
n = 20 - q = 20 - 13 = 7
So there are 7 nickels.
Therefore, there are 12 quarters and 8 nickels.