Question

In a survey of 400 seniors, x percent said that they plan on majoring in physics. One university has used this data to estimate the number of physics majors it expects for its entering class of 3,300 students. If the university expects 66 physics majors, what is the value of x

Answer 1

2 percent

Explanation:

We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.

`(400x)/(66) = (400)/(3600)`

Now cross multiply.

`(66*400)/(400x * 3600)`

x will be removed.

`(26400)/(1320000)`

Simplifying this fraction will get you
`(1)/(50)`, which in percentage form, will be 2 percent.