1.) Rhey sold 35 tickets for a school play. Adult tickets were sold for Php 50 and children tickets for Php 35. He collected
a total of Php 1, 450. How many of each kind of ticket were sold?
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Given - Number and cost of tickets
Find - Number of children and adults
Solution - Let the number of children be x. So, the number of adults will be (35-x).
Now, the equation as per the question is -
50*(35 - x) + 35*x = 1450
1750 - 50x + 35x = 1450
1750 - 1450 = 50x - 35x
Performing subtraction
300 = 15x
Performing division
x = 300/15
x = 20
So, number of children = 20
Number of adults = 35 - x
Number of adults = 35 - 20
Number of adults = 15
Hence, 15 and 20 tickets were sold to adults and children respectively.
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