Question

3000s͟t͟u͟d͟e͟n͟t͟ a͟p͟p͟e͟a͟r͟e͟d͟ i͟n͟ c͟o͟n͟t͟e͟s͟t͟s͟ o͟f͟ t͟h͟e͟m͟ 40℅ w͟e͟r͟e͟ g͟i͟r͟l͟s͟ a͟n͟d͟ t͟h͟e͟ r͟e͟m͟a͟i͟n͟i͟n͟g͟ b͟o͟y͟s͟ i͟f͟ 10% b͟o͟y͟s͟ a͟n͟d͟ 12%g͟i͟r͟l͟s͟ w͟o͟n͟ t͟h͟e͟ c͟o͟n͟t͟e͟s͟t͟s͟ w͟i͟t͟h͟ p͟r͟i͟z͟e͟s͟ f͟i͟n͟d͟ t͟h͟e͟%o͟f͟ s͟t͟u͟d͟e͟n͟t͟s͟ w͟h͟o͟ w͟o͟n͟ t͟h͟e͟ p͟r͟i͟z͟e͟s͟

Answer 1

total number of students = 3000

Find the number of girls :
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number of girls = 40%

= 40 % of 3000 = 0.4 × 3000 = 1200

Find the number of boys :
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boys = 100 - 40 = 60%

number of boys = 60% of 3000

= 0.6 × 3000 = 1800

prize winner boys =10 %

= 10 % of 1800

= 0.1 × 1800 = 180

prize winner girls = 12 %

= 12 % of 1200

= 0.12 × 1200 = 144

Find the total prize winners :
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total prize winners = 180 + 144 = 324

Find the winners' % :
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%age = prize winners × 100 / total students

= 324 × 100/3000 = 324/30 = 10.8 %

therefore, 10.8% students won the prizes .

Answer : 10.8%

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