Representatives from the student councils at three area high schools are traveling to the national convention in New York. North Springdale High School is sending 5 more students than South Springdale High School and West Springdale High School is sending 6 more students than North Springdale. The three schools are sending a total of 46 students to the convention. How many of the students are coming from North Springdale?

Question

Lesly Johnson

Mathematics

28 June, 12:16

Representatives from the student councils at three area high schools are traveling to the national convention in New York. North Springdale High School is sending 5 more students than South Springdale High School and West Springdale High School is sending 6 more students than North Springdale. The three schools are sending a total of 46 students to the convention. How many of the students are coming from North Springdale?

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Answers (2)

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Skylar Bailey · Answer 1

15 students are coming from North Springdale.

Step-by-step explanation:

Total students: 46

South Springdale (SS) : X

North Springdale (NS) : X + 5

West Springdale (WS) : NS + 6 = X + 5 + 6

3X + 5 + 5 + 6 = 46

3X = 46 - 6 - 5 - 5

3X = 30

X = 30 / 3

X = 10

South Springdale: 10 students

North Springdale: 15 students

West Springdale: 21 students

Easton Combs · Answer 2

nshs = sshs+5

wshs = nshh + 6 = sshs + 11

So nshs + wshs + sshs = 3*sshs + 16

So sshs = 10, nshs = 15 and wshs = 21

Answer 15.