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
∴ [tex]\frac{3}{5}=\frac{16}{x}[/tex]
By using cross multiplication
∴ 3x = 16 × 5
∴ 3x = 80
Divide both side by 3
∴ x = [tex]\frac{80}{3}[/tex]
Then let us find the [tex]\frac{80}{3}[/tex] counselors are for how many students
∵ 4 counselors : 57 students
∵ [tex]\frac{80}{3}[/tex] counselors : y students
∴ [tex]\frac{4}{57}=\frac{80/3}{y}[/tex]
By using cross multiplication
∴ 4y = 57 × [tex]\frac{80}{3}[/tex]
∴ 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 https://brainly.com/question/6952762
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