SOLUTION: a club sold 652 tickets to a benefit performance for a total of php 1,535.50. some of the tickets sold for php 2.25 each and some for php 2.50 each. how many of each kind were sold
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Question 413444: a club sold 652 tickets to a benefit performance for a total of php 1,535.50. some of the tickets sold for php 2.25 each and some for php 2.50 each. how many of each kind were sold? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = number of 2.25 tickets sold
Let = number of 2.50 tickets sold
given:
(1)
(2)
--------------------------------
(2) Multiply through by
Multiply both sides of (1) by 225
and subtract (1) from (2)
--------------------------------
(2)
(1)
and, since
(1)
(1)
378 of the 2.25 tickets were sold
274 of the 2.50 tickets were sold
check the answer:
(2)
OK
