Question

how many quarters do you need to get 40 dollars? help me please this is important

Answer 1

160 quarters

Explanation

you can easily solve this by using a rule of three

Step 1

if

$\begin{gathered} \text{1 quarter = 0.25 usd} \\ \text{the proportion is} \\ \frac{1\text{ quarter}}{0.25\text{ usd}}=4\text{ }\frac{quarter\text{ }}{\text{usd}} \end{gathered}$

Let

x represents how many quarters are in 40 dollars, then

$\begin{gathered} x\text{ quarters}\Rightarrow40\text{ dollars} \\ \text{the proportion is} \\ \frac{\text{x quarters}}{40\text{ dollars}} \end{gathered}$

Step 2

the proportion must be the same, so

$\begin{gathered} \frac{1}{0.25}=\frac{x}{40} \\ \text{solve for x} \\ 40\cdot1=0.25x \\ 0.25x=40 \\ x=\frac{40}{0.25} \\ x=160 \end{gathered}$