SOLUTION: A total of 320 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tick

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Question 1202114: A total of 320 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
let number of adult tickets sold be x
Number of student tickets will be 3x
Total tickets sold = 320
x+3x=320
4x=320
x=320/4
x=80 Number of adult tickets
Remaining tickets from total were student tickets
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
A total of 320 tickets were sold for the school play.
They were either adult tickets or student tickets.
The number of student tickets sold was three times the number of adult tickets sold.
How many adult tickets were sold?
~~~~~~~~~~~~~~~~~~~~~~~~~


            It can be solved mentally. 


According to the problem, we can group the tickets in sets,
combining one adult ticket with three student tickets.


Each group contains 4 = 3+1 tickets, so the number of groups is 320/4 = 80,
and each group has exactly one adult ticket.


From it, we conclude, that the number of adult tickets was 80.    ANSWER

Solved mentally, without using equations.



Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
y number of adult tickets
3y number of student tickets


With the simplest of thought, .
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