Question

At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.

Answer 1

250 students

Explanation:

Answer 2

250 students

Explanation:

Another way of saying this is:

40% of all six-grade students are 100 of them.

So,

40% of total is equal to 100

We can translate this into an algebraic equation and solve for the total number of students.

Let total number of students be "t"

Also, note "of" means "multiplication" and "is" means "equal"

Lets translate word equation to algebraic:

"40% of total is equal to 100"

40% * t = 100

Converting percentage to decimal by dividing by 100, we have:

40% = 40/100 = 0.4

Now, we have:

0.4 * t = 100

We can now solve for t:

`0.4 * t = 100\\t=(100)/(0.4)\\t=250`

Hence,

the total number of students is 250