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

Rebecca have 18 nickels coins and 27 dime coins

Explanation:

Remember that

1 nickel =$0.05

1 dime=$0.10

so

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 -----> equation B

Solve the system by substitution

Substitute equation A in equation B and solve for y

0.05(45-y)+0.10y=3.60

2.25-0.05y+0.10y=3.60

0.05y=3.60-2.25

0.05y=1.35

y=27

Find the value of x

x=45-y ---->x=45-27=18

therefore

Rebecca have 18 nickels coins and 27 dime coins