The opera house had 1169 seats. There were 25% fewer $25-seats than $10-seats. 75% of the $10-seats and some $25-seats were sold. A total of $16660 was collected. How many seats were unsold?
|
$25 |
$10 |
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 = 1169
1 u = 1169 ÷ 7 = 167
Total number of $10-seat tickets
= 4 u
= 4 x 167
= 668
Number of $10-seat tickets sold
= 75% x 668
=
75100 x 668
= 501
Amount collected from $10-seat tickets sold
= 501 x 10
= $5010
Amount collected from $25-seat tickets sold
= 16660 - 5010
= $11650
Number of $25-seat tickets sold
= 11650 ÷ 25
= 466
Number of tickets sold
= 501 + 466
= 967
Number of tickets left unsold
= 1169 - 967
= 202
Answer(s): 202