At the movie theatre, child admission is $ 5.10 and adult admission is $ 9.80 . On Thursday, 141 tickets were sold for a total sales of $ 1104.50 .

Question

At the movie theatre, child admission is
$
5.10

and adult admission is
$
9.80

. On Thursday,
141

tickets were sold for a total sales of
$
1104.50

. How many adult tickets were sold that day?

Answer 1

a + c = 141 ------> c = 141 - a

510c + 980a = 110,450 (multiplied by 100 to get rid of the pesky decimal)

 

Substitute!

 

510(141 - a) + 980a = 110,450

71,910 - 510a + 980a = 110,450

470a = 38,540

a = 82 adult tickets