Question

Tickets for the basketball game were sold at 4$ for adults and 2.50$ for students. If 320 tickets were sold for a total of 1100$, how many students tickets were sold? How many adult tickets were sold?

Answer 1

Answer: Number of students tickets were sold = 120

Number of adults tickets were sold = 200

Explanation:

Let x= Number of adults, y = Number of students

As per given,

x+y=320 ...(i)

4x+2.5y=1100 ...(ii)

Multiply 2.5 on both the sides of (i), we get

2.5x+2.5y=800 ...(iii)

Subtract (iii) from (ii), we get

1.5x=300

`x=(300)/(1.5)\\x=200`

From (i) y= 320-200 = 120

Hence, Number of students tickets were sold = 120

Number of adults tickets were sold = 200