Question

3) At a school, 60% of the sixth-grade students said that hip-hop is their favorite kind of music. If 210 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning

Answer 1

350 students

Explanation:

Let x be the number of students at the schoool. This number of students form 100%. Since 210 students (60%) of the sixth-grade students said that hip-hop is their favorite kind of music, then

x students - 100%,

210 students - 60%.

Mathematically, you can write a proportion:

`(x)/(210)=(100)/(60)\Rightarrow 60\cdot x=100\cdot 210,\\ \\x=(21,000)/(60)=350.`