Question

A. A survey of 110 teachers showed that 28 of them have a second job.
B. A survey of 90 teachers showed that 27 of them have a second job.
C. A survey of 70 teachers showed that 21 of them have a second job.
D. A survey of 80 teachers showed that 32 of them have a second job.
In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job. Which two surveys show proportional results?

Answer 1

Look at the fractions
28/110, 27/90, 21/70, 32/80
Reduce all to simplest terms, and see which ones are equivalent.

Answer 2

each fraction is for corresponding letter? such as 28/110?

Answer 3

for letter a

Answer 4

Yes.
Notice that in A, there are 28 out of 10 teachers with a second job, so from choice A you get the ratio 28/110.
Each of the fractions comes from one letter.
You need to find which two fractions are equivalent.
One way to do it is to reduce all fractions to simplest terms.
Then the two reduced fractions that are equal correspond to the two equivalent fractions.

There is a quicker way to do it if you are allowed to use a calculator.
Just do all the divisions using a calculator.
The two decimals that are equal correspond to the two equivalent fractions.