West High Schools population is 250 students fewer than twice the population of East High School. The two schools have a total of 2858 students. How many students attend East High School?
West High Schools population is 250 students fewer than twice the population of East High School. The two schools have a total of 2858 students. How many students attend East High School?
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West High Schools population is 250 students fewer than twice the population of East High School. The two schools have a total of 2858 students. How many students attend East High School?
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w = 2e - 250
w + e = 2858
substitute
(2e - 250) + e = 2858
3e -250 = 2858
3e = 2858 + 250 = 2850 + 250 + 8 = 3108
3e = 3108; e = 3108/3 = 1036
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substituting into w + e = 2858, we have
w + 1036 = 2858
w = 2858 - 1036; w = 1822
Let the West high school be 2x - 250 and the East be x
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2x + x - 250 = 2858
Add the like terms:
3x - 250 = 2858
Add 250 to both sides:
3x = 3108
Divide both sides by 3:
X = 1036
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East high school is x, therefore it has 1036 students