SOLUTION: a museum charges $5 for admission tickets, but members receive a 1$ discount and students are admitted for half price. one Saturday, 1050 tickets were sold for a total of $4035. if

Question 1009657: a museum charges $5 for admission tickets, but members receive a 1$ discount and students are admitted for half price. one Saturday, 1050 tickets were sold for a total of $4035. if 35 more students' tickets than full price tickets were sold, find number of each type of tickets sold.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of admission tickets sold
Let = number of member tickets sold
Let = number of student tickets sold
-------------------------------------
(1)
(2)
(3)
---------------------------
Multiply both sides of (1) by and
subtract (2) from (1)
(1)
(2)
-----------------------------

Substitute (3) into this result

and
(3)
(3)
(3)
and
(1)
(1)
(1)
(1)
------------------
225 admission tickets were sold
565 member tickets were sold
260 student tickets were sold
----------------------------
check:
(2)
(2)
(2)
(2)
OK
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