Answer:
nickels = 12
quarters = 9
Step-by-step explanation:
Let number of quarters be "q", and
number of nickels be "n"
Nickels are worth $0.05 and Quarters are worth $0.25
Since all of them are worth 2.85, we can write:
0.25q + 0.05n = 2.85
Also, we know, there are 3 more nickels than quarters, so we can write:
n = 3 + q
Now, we can substitute equation 2 into equation 1 to get:
[tex]0.25q + 0.05n = 2.85\\0.25q + 0.05(3+q) = 2.85\\0.25q+0.15+0.05q=2.85[/tex]
Now, we solve for q:
[tex]0.25q+0.15+0.05q=2.85\\0.3q=2.70\\q=9[/tex]
There are 9 quarters.
We know n = 3 + q
So,
n = 3 + 9
n = 12
There are 12 nickels
