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

Verified
Step 1
1 of 2

From the information given, 35%35\% out of 100100 people preferred to rock music.

Let the no. of Out of 15001500 people can be expected to prefer rock music be xx. By calculating,

x1500=35100x100=351500100x=52500100x100=52500100or x=525\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*}

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

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Prealgebra 1st Edition by McGraw-Hill

Prealgebra

1st EditionISBN: 9780078957734McGraw-Hill
11,074 solutions
Go Math: Middle School, Grade 7 1st Edition by Holt McDougal

Go Math: Middle School, Grade 7

1st EditionISBN: 9780544056756Holt McDougal
3,175 solutions
Saxon Math, Course 2 1st Edition by Hake, Stephen

Saxon Math, Course 2

1st EditionISBN: 9781591418351Hake, Stephen
4,848 solutions
Saxon Math, Course 3 1st Edition by Hake

Saxon Math, Course 3

1st EditionISBN: 9781591418849Hake
4,042 solutions

More related questions

1/4

1/7