The ratio of chaperones to students on a field trip to New York city is 2to11. If there are 297 students on the trip how many Chaperones are there

54 chaperones

Step-by-step explanation:

The basic idea behind this kind of question is that you want to keep the proportions equal. When there are 11 students, there are 2 chaperones. If there are now 297 students, how many chaperones must there be keep the proportions equal?

When answering this sort of question, you should construct an equation in which the basic ratio is equal to the proportions you're interested in. In this case:

2 chaperones / 11 students = X chaperones / 297 students

To find the value of X, you then cross-multiply and solve for X.

Cross-multiplying means that you multiply the numerator (top) on one side by the denominator (bottom) on the other, and vice versa.

Here,

2 chaperones x 297 students = 11 students x X chaperones

You then solve for X.

First, multiply the left side:

594 = 11X

Now, divide 594 / 11 to solve for X.

X = 54.

Because X stood for the number of chaperones, the answer is 54 chaperones.