There are some pupils rehearsing for a performance in an auditorium.
1/2 of the pupils are practicing singing and 1/6 of them are doing dance steps.
The remaining 72 pupils are playing their musical instruments.
(a) How many pupils are there in the auditorium?
(b) If there are 24 more girls than boys rehearsing for the performance, how many girls are there in the auditorium?

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• A (a) 188 pupils, (b) 80 girls
• B (a) 194 pupils, (b) 80 girls
• C (a) 210 pupils, (b) 110 girls
• D (a) 216 pupils, (b) 120 girls

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Answer: D. (a) 216 pupils, (b) 120 girls

Singing and Dancing take up 1/2 + 1/6 = 2/3 of the pupils.
The remaining 1/3 of the pupils equals 72.
Total pupils = 72 * 3 = 216.
For the girls: (Total + Difference) / 2 = (216 + 24) / 2.
Final Answer: (a) 216 pupils and (b) 120 girls

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