Mrs. Shoelady gave her children $2.40 in quarters, dimes, and nickles. The number of nickles was twice the number of quarters. The number of quarters was twice the number of dimes. How many of each coin did she give out?

6 quarters, 3 dimes, and 12 nickles

Step-by-step explanation:

Let's say Q is the number of quarters, D is the number of dimes, and N is the number of nickles.

From the information in the problem, we can write three equations:

25Q + 10D + 5N = 240

N = 2Q

Q = 2D

Solve the system of equations using substitution.

25 (2D) + 10D + 5 (2Q) = 240

50D + 10D + 10Q = 240

60D + 10 (2D) = 240

60D + 20D = 240

80D = 240

D = 3

Q = 6

N = 12

There are 6 quarters, 3 dimes, and 12 nickles.