Question

FAN AND MEDAL
A college has a student to teacher ratio of 30 to 2. If there are 186 teachers at the college, how many students attend the college?
A.
2,790
B.
3,906
C.
1,116
D.
2,232

Answer 1

Setting up a proportion should work. Let's first read and see which makes sense.

It says the ratio is 30 to 2, so would that mean 30 students per 2 teachers or 30 teachers per 2 students?

Answer 2

30 students per 2 teachers

Answer 3

Right.

So we have 2 teachers to 30 students
And we have 186 teachers to ? students

We can set it up now

\[\frac{ 2 }{ 30 } = \frac{ 186 }{ x }\]

Do you know how to cross multiply and divide?

Answer 4

no, maybe would i cross multiply or divide in the problem?

Answer 5

Yes

So basically, you would get the top number and make a diagonal line to the other value

So for 2. You create that line diagonally and it goes to x.
For 30, you do the same thing and it goes to 186 (It also formed a x-cross)

So now you multiply the numbers you crossed, so

\[2x = (186)(30)\]

Now solve for (186)(30), what do you get?

Answer 6

5,580

Answer 7

Yes! So now it's

\[2x = 5580\]

But we just want our answer as an x, not 2x.
Since it's a 2 multiplied by an X, we have to do the opposite of that to get it to x, and we have to do it to both sides

Answer 8

2,790

Answer 9

Correct, good work

Answer 10

tysm!!

Answer 11

No problem!

Answer 12

can you help me with 1 more ill open in new thing so i can medal u

Answer 13

Sure