Algebra with Coins - X Fraction as Many of Coin and Total - Three Coin Types - to Equations

Question

Some coins have a total value of $0.98.  There are 1/2 as many Dimes as Pennies and 1/2 as many Quarters as Dimes.  What equations would help us solve?

Accepted Answer

$$\begin{align*}d &= \frac{p}{2} \ q &= \frac{d}{2}\1p + 10d + 25q &= 98\end{align*}$$

Answer

$$\begin{align*}d &= \frac{q}{2} \ p &= \frac{d}{2}\25q + 10d + 1p &= 98\end{align*}$$

Practice: Algebra with Coins - X Fraction as Many of Coin and Total - Three Coin Types - to Equations

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Algebra with Coins - X Fraction as Many of Coin and Total - Three Coin Types - to Equations

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