If $40$ percent of $x$ is equal to $y$ percent of $300$, where $y>0$, what is the value of $\frac{x}{y}$?

เฉลยละเอียด

[STEP]Set up the equation[/STEP]

$$\frac{40}{100}\times x=\frac{y}{100}\times 300$$

[STEP]Solve for $\frac{x}{y}$[/STEP]

\begin{eqnarray*}
\frac{40}{100}x & = & \frac{y}{100}\times300\\
40x & = & 300y\\
\frac{x}{y} & = & \frac{300}{40}\\
& = & \frac{15}{2}
\end{eqnarray*}

[ANS]$\frac{x}{y}=\frac{15}{2}$[/ANS]

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