Question

A total of 590 tickets were sold for the school play. They were either adult tickets or student tickets. There were 60 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answer 1

Answer:

  325 adult tickets

Step-by-step explanation:

This "sum and difference" problem can be solved by assigning a single variable to the quantity you want to know. Let 'a' represent the number of adult tickets sold. Then (a-60) is the number of student tickets sold, and the total number sold is ...

  a +(a -60) = 590

  2a = 590 +60

  a = 650/2 = 325

There were 325 adult tickets sold.

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Check

325-60 = 265 student tickets were sold, for a total of 325+265 = 590.

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Additional comment

You may have noticed that the larger number of tickets (number of adult tickets) was found to be the average of the two numbers given in the problem statement. That will generally be the case for a "sum and difference" problem.

Answer 2

Answer:x+x-61=489

2x=489+61

x=550/2

x=275 adults

Step-by-step explanation: