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A Broadway musical was attended by a total of 2,838 people, including men, women, and children. The number of women who attended the event was 5 more than 3 times the number of children, while the number of men was 3 less than 4 times the number of women. Write an equation to model this situation. Then, use the equation to find the number of men, women, and children who attended the musical.

Respuesta :

texaschic101
m + w + c = 2838
w = 3c + 5
m = 4w - 3...4(3c + 5) - 3

4(3c + 5) - 3 + 3c + 5 + c = 2838
12c + 20 - 3 + 3c + 5 + c = 2838
16c + 22 = 2838
16c = 2838 - 22
16c = 2816
c = 2816/16
c = 176

w = 3c + 5
w = 3(176) + 5
w = 528 + 5
w = 533

m = 4w - 3
m = 4(533) - 3
m = 2132 - 3
m = 2129

check...
m + w + c = 2838
2129 + 533 + 176 = 2838
2838 = 2838 (correct)

men attending (m) = 2129
women attending (w) = 533
children attending (c) = 176

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