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A choir bakes and sells cookies to raise money for their end-of-year production. Lin sells 3 times as many cookies as Noah. Jada sells 5 more cookies than Lin. Elena sells 7 more cookies than Jada. Diego sells 4 fewer cookies than Noah, and Andre sells twice as many as Diego. If the six students sold 317 cookies, write and solve an equation to determine how many cookies Noah sold.

Respuesta :

adioabiola

The equation used to determine how many cookies Noah sold is 317 = 13n + 5 where number of cookies Noah sold is 24

Equation

  • Total cookies sold = 317
  • Noah = n
  • Lin, l = 3n
  • Jada, j = 5 + 3n
  • Elena, e = 7 + (5 + 3n)
  • Diego, d = n - 4
  • Andre, a = 2(n - 4)

Total = Noah + Lin + Jada + Elena + Diego + Andre

317 = n + 3n + (5 + 3n) + {7 + (5 + 3n)} + (n - 4) + {2(n - 4)}

317 = n + 3n + 5 + 3n + 7 + 5 + 3n + n - 4 + 2n - 8

317 = 13n + 5

317 - 5 = 13n

312 = 13n

  • divide both sides by 13

n = 312 / 13

n = 24 cookies

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