Question

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?

Answer 1

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.

Answer 2

15 students are coming from North Springdale.

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