Tickets for a concert hall trip were sold to teachers and pupils at different prices as shown in the table.
|
Teacher |
Pupil |
Price per ticket |
$29 |
$16 |
27 of the tickets sold were bought by teachers. The total amount of money collected from the sale of tickets to pupils was $1738 more than the total amount collected from the sale of tickets to teachers. How much money was collected from the sale of tickets altogether?
|
Teachers |
Pupils |
Difference |
Total |
Number |
2 u |
5 u |
|
|
Value |
29 |
16 |
|
|
Total value |
58 u |
80 u |
22 u |
138 u |
Difference in the total amount collected from sale of tickets to teachers and pupils
= 80 u - 58 u
= 22 u
22 u = 1738
1 u = 1738 ÷ 22 = 79
Amount collected from the sale of tickets
= 58 u + 80 u
= 138 u
= 138 x 79
= $10902
Answer(s): $10902