Algebra with Coins - Same Count of Three with Three Coin Types - to Equations

Question

Some coins have a total value of $0.40  There are the same number of Nickels, Dimes, and Quarters, and only those coins.  What equations would help us solve?

Accepted Answer

$$\begin{align*}n &= d\d &= q\5n + 10d + 25q &= 40\end{align*}$$

Answer

$$\begin{align*}n &= q\q &= d\5n + 25q + 10d &= 40\end{align*}$$

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