The auditorium had 2034 seats. There were 20% fewer $45-seats than $5-seats. 50% of the $5-seats and some $45-seats were sold. A total of $21770 was collected. How many seats were unsold?

	$45	$5	Total
Number	4 u	5 u	9 u

100% - 20% = 80%
⁸⁰₁₀₀ = ⁴₅

Total number of seats
= 4 u + 5 u
= 9 u

9 u = 2034

1 u = 2034 ÷ 9 = 226

Total number of $5-seat tickets
= 5 u
= 5 x 226
= 1130

Number of $5-seat tickets sold
= 50% x 1130
= ⁵⁰₁₀₀ x 1130
= 565

Amount collected from $5-seat tickets sold
= 565 x 5
= $2825

Amount collected from $45-seat tickets sold
= 21770 - 2825
= $18945

Number of $45-seat tickets sold
= 18945 ÷ 45
= 421

Number of tickets sold
= 565 + 421
= 986

Number of tickets left unsold
= 2034 - 986
= 1048

Answer(s): 1048