Answer:
18 Nickels, 6 Quarters
Step-by-step explanation:
For this problem, let's build a system of equations to find the number of nickels and dimes you have. Let N represent the number of nickels and Q represent the number of quarters you have.
The first equation, you have 3 times as many nickels as quarters:
N = 3Q
The second equation, you have a total of $2.40. Given we know nickels are $0.05 and quarters are $0.25:
0.05N + 0.25Q = 2.40
Now, let's use the two equations to find the number nickels and quarters you have.
N = 3Q
0.05N + 0.25Q = 2.40
0.05(3Q) + 0.25Q = 2.40
0.15Q + 0.25Q = 2.40
0.4Q = 2.40
Q = 6
Now, let's plug the value back into the equation:
N = 3Q
N = 3(6)
N = 18
And we can verify these values with the second equation:
0.05N + 0.25Q = 2.40
0.05(18) + 0.25(6) ?= 2.40
0.90 + 1.50 ?= 2.40
2.40 == 2.40
Therefore, we have found and verified the amount of Nickels and Quarters you have.
Cheers.
