Question

there were 200 tickets sold for a college basketball game. Tickets were $4.50 for students and $9 for adults. The total amount collected was $1485. How many of each type of ticket were sold

Answer 1

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