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PercentageStructured · 4 marks

A theatre had 1800 tickets for a show. 33% of the tickets were sold in advance. On the day of the show, a further 450 tickets were sold.

  1. How many tickets were sold in advance?
  2. How many tickets were still unsold?
  3. What percentage of the 1800 tickets were still unsold?
Need a hint?

Find the number of tickets left after both sales first, then compare that number with the total of 1800.

Worked answer

  1. (a) 33% of 1800 = 1800 × 33 ÷ 100 = 594 tickets sold in advance.
  2. (b) Unsold = 1800 − 594 − 450 = 756 tickets.
  3. (c) Percentage unsold = 756 ÷ 1800 × 100 = 42%.
Answer: 42%

The mistake this question tests

Habit

Calculation slip

Pupils often find the percentage of tickets that were sold (58%) instead of the percentage still unsold, or forget to subtract the 450 tickets sold on the day.

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