The drama centre had 1600 seats. There were 40% fewer $50-seats than $5-seats. 75% of the $5-seats and some $50-seats were sold. A total of $27850 was collected. How many seats were unsold?

	$50	$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 = 1600

1 u = 1600 ÷ 8 = 200

Total number of $5-seat tickets
= 5 u
= 5 x 200
= 1000

Number of $5-seat tickets sold
= 75% x 1000
= ⁷⁵₁₀₀ x 1000
= 750

Amount collected from $5-seat tickets sold
= 750 x 5
= $3750

Amount collected from $50-seat tickets sold
= 27850 - 3750
= $24100

Number of $50-seat tickets sold
= 24100 ÷ 50
= 482

Number of tickets sold
= 750 + 482
= 1232

Number of tickets left unsold
= 1600 - 1232
= 368

Answer(s): 368