Answer:
The no. of adult's tickets sold is 25.
The no. of adult's tickets sold is 247
Explanation:
Given :
Tickets for a basketball game cost $2 for students and $5 for adults.
The number of students was 3 less than 10 times the number of adults.
The total amount of money from ticket sales was $619.
To Find : No. of each ticket were sold
Solution :
Let x be the no. of the student's tickets sold
Let y be the no. of adult's tickets sold
Since we are given that The number of students was 3 less than 10 times the number of adults.
⇒ x = 10y -3 --(A)
Now cost of 1 student's ticket is $2
Thus, cost of x student's ticket is $2x
Now cost of 1 adult's ticket is $5
Thus,cost of y adult's ticket is $5y
Since we are given that the total amount of money from ticket sales was $619.
⇒2x +5y =619 ---(B)
Solving equation A and B by substitution method :
putting value of x from (A) in (B)
We get :
⇒2( 10y -3) +5y =619
⇒20y-6+5y= 619
⇒25y = 625
⇒y = 625/25
⇒y=25
Thus, the no. of adult's tickets sold is 25.
Putting value of y in equation A to get value of x .
⇒x = 10(25) -3
⇒x = 247
Thus the no. of adult's tickets sold is 247