SOLUTION: A total of 372 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 1172789: A total of 372 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 josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Take the description very literally.
y adults
x students
system%28x%2By=372%2Cx=3y%29

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

A total of 372 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?
That person is WRONG, as usual. 

Using his setup will never get you the correct answer. His setup is: system%28x%2By=372%2Cy=3x%29, and should NOT be given any credence.

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the number of adult tickets.


Then the number of the student tickets is 3x, according to the condition.


For the total tickets, you have this equation


    x + 3x = 372.


Simplify and find x


     4x    = 372

      x    = 372/4 = 93.


ANSWER.  93 adult tickets.


CHECK.   93 + 3*93 = 372, total tickets.   ! Correct !

Solved.