Question

A total of 709 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 more student

tickets sold than adult tickets. How many adult tickets were sold?

Answer 1

Key Concepts

• Systems of equations
• Word problems

Solving the Question

First, assign variables to the given information:

• Let the number of student tickets sold be x.
• Let the number of adult tickets sold be y.

We're given:

• 
  `x+y=709`
• 
  `x=59+y`

Plug the second equation into the first and solve using substitution:

`x+y=709\\59+y+y=709\\59+2y=709\\2y=650\\y=325`

Therefore, 325 adult tickets were sold.

Answer

325 adult tickets were sold.