The opera house had 931 seats. There were 25% fewer $45-seats than $20-seats. 75% of the $20-seats and some $45-seats were sold. A total of $30300 was collected. How many seats were unsold?
|
$45 |
$20 |
Total |
Number |
3 u |
4 u |
7 u |
100% - 25% = 75%
75100 =
34 Total number of seats
= 3 u + 4 u
= 7 u
7 u = 931
1 u = 931 ÷ 7 = 133
Total number of $20-seat tickets
= 4 u
= 4 x 133
= 532
Number of $20-seat tickets sold
= 75% x 532
=
75100 x 532
= 399
Amount collected from $20-seat tickets sold
= 399 x 20
= $7980
Amount collected from $45-seat tickets sold
= 30300 - 7980
= $22320
Number of $45-seat tickets sold
= 22320 ÷ 45
= 496
Number of tickets sold
= 399 + 496
= 895
Number of tickets left unsold
= 931 - 895
= 36
Answer(s): 36