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A total of 387 tickets were sold for the school play. They were either adult tickets or student tickets....

A total of 387 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answer

Let the number of adult tickets be x and the number of student tickets be y.

According to the problem, we have the following equations:

  1. x + y = 387 (total tickets)
  2. y = x - 63 (63 fewer student tickets)

Substitute equation 2 into equation 1:

x + (x - 63) = 387

Simplify and solve for x:

2x - 63 = 387

2x = 450

x = 225

Therefore, 225 adult tickets were sold.

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