Question

The ratio of chaperones to students on a field trip is 2:7. There are 14 chaperones on the field trip. In all, how many chaperones and students are on the field trip

Answer 1

To find the total number of chaperones and students on the field trip, you can use the given ratio and the fact that there are 14 chaperones. The ratio of chaperones to students is 2:7.

Let C represent the number of chaperones and S represent the number of students. According to the ratio:

2:7 = 14:C

To solve for C, you can set up a proportion:

2/7 = 14/C

Now, cross-multiply:

2C = 7 * 14

2C = 98

Now, divide both sides by 2 to find the number of chaperones (C):

C = 98 / 2

C = 49

So, there are 49 chaperones and 7 times as many students:

Students (S) = 7 * Chaperones (C) = 7 * 49 = 343

In total, there are 49 chaperones and 343 students on the field trip.