Question

In Juan's coin bank there are nickels (n),

dimes (d), and quarters (q). The number of
quarters is one-quarter the number of dimes, and
the number of nickels is twice the number of
quarters. The total value of the coins is $6.00.
Find the number of each type of coin. [Show all
work.]

Answer 1

The answer is 8 quarters, 16 nickles, and 32 dimes

Explanation:

1. First, the equation would be (2/4d) x 5 +d x 10 +1/4d x 25= 600 (Don't put 6.00, that's dollars. We put 6 dollars into cents to make it easier.)
2. Then we slowly start to solve: 10/4d + 10d + 25/4d = 600
3. 10d+40d+25d/4 = 600 (Put all of that over 4, not first 25d)
4. 75d= 600 x 4
5. d=600 x 4/75 (same here put everything over 75)
6. d=32
7. So then n= 2 x 32/4 = 16
8. Then n would be equal to : 1/4d= 1/4 x 32 = 8
9. So your answer would be 8 quarters, 16 nickles, and 32 dimes.

Hope this helped :)