Question

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?​

Answer 1

There are 18 nickel coins and 27 dime coins

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