The opera house had 1464 seats. There were 40% fewer $40-seats than $5-seats. 60% of the $5-seats and some $40-seats were sold. A total of $19265 was collected. How many seats were unsold?

	$40	$5	Total
Number	3 u	5 u	8 u

100% - 40% = 60%
⁶⁰₁₀₀ = ³₅

Total number of seats
= 3 u + 5 u
= 8 u

8 u = 1464

1 u = 1464 ÷ 8 = 183

Total number of $5-seat tickets
= 5 u
= 5 x 183
= 915

Number of $5-seat tickets sold
= 60% x 915
= ⁶⁰₁₀₀ x 915
= 549

Amount collected from $5-seat tickets sold
= 549 x 5
= $2745

Amount collected from $40-seat tickets sold
= 19265 - 2745
= $16520

Number of $40-seat tickets sold
= 16520 ÷ 40
= 413

Number of tickets sold
= 549 + 413
= 962

Number of tickets left unsold
= 1464 - 962
= 502

Answer(s): 502