Entrance tickets to the concert hall are $40 each for children. The ticket for an adult costs 10% more. Last Sunday, 30% of the tickets sold were for children and the total sales of the tickets was $31244. How many tickets were sold?
|
Adults |
Children |
Total |
Number |
7 u |
3 u |
10 u |
Value |
$44 |
$40 |
|
Total value |
308 u |
120 u |
$31244 |
30% =
30100 =
310Price of each child ticket in percent = 100%
Price of each adult ticket in percent
= 100% + 10%
= 110%
Price of each adult ticket
= 110% x 40
=
110100 x 40
= $44
Total sales of tickets
= 308 u + 120 u
= 428 u
428 u = 31244
1 u = 31244 ÷ 428 = 73
Number of tickets sold
= 10 u
= 10 x 73
= 730
Answer(s): 730