Question

In a pile of nickels and dimes, the number of nickels is three times the number of dimes. If the pile is worth $1.75, how many nickels are there?

Answer 1

21 nickels.

Explanation:

Let `x` be the number of dimes.
Let `3x` be the number of nickels.

`0.10(x) + 0.05(3x) = 1.75`

Distribute `0.05`:
`0.1x+0.15x=1.75`

Collect like terms:
`0.25x=1.75`

Divide both sides by `0.25`:
`x=7`

`3x = 21`

Therefore, there are 7 dimes and 21 nickels in the pile.