Question

# One hundred people in a music store were surveyed about what type of music they prefer. If 35% of them said they prefer rock music, how many people out of 1500 can be expected to prefer rock music?

Solution

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From the information given, $35\%$ out of $100$ people preferred to rock music.

Let the no. of Out of $1500$ people can be expected to prefer rock music be $x$. By calculating,

\begin{align*} \dfrac{x}{1500}&=\dfrac{35}{100}\\\\ x \cdot 100 &=35 \cdot 1500\\\\ 100x &=52500\\\\ \dfrac{100x}{\textcolor{#c34632}{100}}&=\dfrac{52500}{\textcolor{#c34632}{100}}\\\\ \text{or} \ x &=\boxed{525} \end{align*}

\begin{align*} \boxed{\text{Out of 1500 people, we can expect 525 people to prefer rock music.}} \end{align*}

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