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The table below shows the number of tickets sold in six different theatres, the number of tickets sold to children, and the remaining tickets sold to adults (male:female). Study the data carefully and answer the question. Theatre | Tickets sold to children | Tickets sold to adults (Male:Female) C1 | 15 | 6:7 C2 | 10 | 3:4 C3 | 20 | 2:3 C4 | 14 | 6:5 C5 | 8 | 5:4 C6 | 12 | 9:8 A total of 80 tickets are sold in each theatre. Q12. The number of females who bought tickets from theatres C2 and C4 together is what percent more than the number of males who bought tickets from theatre C5?

1. 33 1/3%
2. 50%
3. 66 2/3%
4. 87.50%

Correct answer: 87.50%

Solution

In C2, adults = 80 - 10 = 70, so females = \(\frac{4}{7}\times 70 = 40\). In C4, adults = 80 - 14 = 66, so females = \(\frac{5}{11}\times 66 = 30\). Total females = 70. In C5, adults = 80 - 8 = 72, so males = \(\frac{5}{9}\times 72 = 40\). Percentage more = \(\frac{70-40}{40}\times 100 = 75\%\).

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