Answer:
There are 18 nickel coins and 27 dime coins
Step-by-step explanation:
Remember that
1 nickel=$0.05
1 dime=$0.10
Let
x ----> the number of nickel coins
y ---> the number of dime coins
we know that
x+y=45
x=45-y -----> equation A
0.05x+0.10y=3.60
Multiply by 100 both sides
5x+10y=360 ----> equation B
Solve the system by substitution
Substitute equation A in equation B and solve for y
5(45-y)+10y=360
225-5y+10y=360
5y=360-225
5y=135
y=27
Find the value of x
x=45-27= 18
therefore
There are 18 nickel coins and 27 dime coins
