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dem82 [27]
3 years ago
12

there were 200 tickets sold for a college basketball game. Tickets were $4.50 for students and $9 for adults. The total amount c

ollected was $1485. How many of each type of ticket were sold
Business
1 answer:
Virty [35]3 years ago
8 0

Answer:

70 tickets were sold to student and 130 tickets were sold to adults

Explanation:

Let the number of tickets purchased by students be "X" and the number of tickets purchased by adults  be "Y"

Given

Total number of tickets sold = 200

Total amount collected by selling 200 tickets = 1485 dollar

Cost of one ticket of student = 4.5 dollar

Cost of one ticket of adult = 9 dollar

Two equation are as follows

X + Y = 200\\ ------Eq (1)

4.5 X + 9 Y =1485 -------- Eq (2)

Multiplying eq (1) by 9 and subtracting from equation 2 we get

4.5 X - 9 X + 9Y -9Y = 1485 - (200* 9)\\-4.5 X = -315\\X = 70

Substituting the value of X in equation 1 we get

70 + Y = 200\\Y = 200 -70 \\Y = 130

Therefore, 70 tickets were sold to student and 130 tickets were sold to adults

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