Word Problem to Find Combinations of Tickets

Topic : Word problem

Question : The owner of a movie theater was counting money from1 days sales. he knew that the total of 150 tickets were sold. adult tickets cost 7.50 annd children tickets coast 4.7.5 each if the total recipt for the day were 891.25 how many of each kind of ticket was sold?

Solution :
Number of adult's ticket sold be 'x'
number of children ticket sold be 'y'

the total tickets are 150
So the first equation becomes x+y = 150 ------ (1)

cost of one adult's ticket be 7.50
cost of a child ticket be 4.75

total amount after selling all the tickets makes another equation
7.50x + 4.75y = 891.25 -------- (2)
________________
(x+y = 150) X 7.50
7.50x + 7.50y = 1125
7.50x + 4.75y = 891.25
- _____ -______-______
2.75y = 233.75
divide by 2.75
y = 233.75/2.75
y = 85
x + y = 150
x = 150 - y = 150 - 85 = 65