Question

Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? adult tickets

Answer 1

168

Explanation:

The first equation given is
`0.50 a +3.75 b= 2071.50`

Where a is number of adult tickets and b is number of student tickets

It is also given that 82 students attended, so we can put "82" in place of "b" and then solve the equation for a:

`10.50a+3.75b=2071.50\\10.50a+3.75(82)=2071.50\\10.50a+307.5=2071.50\\10.50a=2071.50-307.5\\10.50a=1764\\a=(1764)/(10.50)\\a=168`

Hence, 168 adults attended