Rebecca has 45 coins, all nickels and dimes. the total value of the coins is 3.60.how many of each type of coin does rebecca have?

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