Question

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors. Chapter Reference b Ms. Rifkin asked all 16 teachers present at the camp to attend a teachers meeting. Find the number of students attending the camp that summer

Answer 1

The number of students attending the camp that summer is 380 students

Step-by-step explanation:

There are four counselors for every fifty seven students

There are three teachers for every five counselors

Ms. Rifkin asked all 16 teachers present at the camp to attend a

teachers meeting

To solve this question we will use the ratio

The given is:

1. 4 counselors for every 57 students

2. 3 teachers for every 5 counselors

3. There are 16 teachers

At first let us find the 16 teachers are for how many counselors

∵ 3 teachers : 5 counselors

∵ 16 teachers : x counselors

∴ $\frac{3}{5}=\frac{16}{x}$

By using cross multiplication

∴ 3x = 16 × 5

∴ 3x = 80

Divide both side by 3

∴ x = $\frac{80}{3}$

Then let us find the $\frac{80}{3}$ counselors are for how many students

∵ 4 counselors : 57 students

∵ $\frac{80}{3}$ counselors : y students

∴ $\frac{4}{57}=\frac{80/3}{y}$

By using cross multiplication

∴ 4y = 57 × $\frac{80}{3}$

∴ 4y = 1520

Divide both sides by 4

∴ y = 380 students

The number of students attending the camp that summer is 380 students

Learn more:

You can learn more about the ratio in brainly.com/question/6952762

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