The ratio of the number of students studying in a school A, B and C is 5:6:8. If the number of students studying in each of the schools is increased by 30%, 25% and 25% respectively, what will be the new ratio?
Question
The ratio of the number of students studying in a school A, B and C is 5:6:8. If the number of students studying in each of the schools is increased by 30%, 25% and 25% respectively, what will be the new ratio?
Solution
Let's break this down:
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The initial ratio of students in schools A, B, and C is 5:6:8. Let's assume the number of students in schools A, B, and C are 5x, 6x, and 8x respectively.
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The number of students in each school is increased by a certain percentage. So, the new number of students in each school will be:
- School A: 5x + 30/100 * 5x = 5x * 1.3 = 6.5x
- School B: 6x + 25/100 * 6x = 6x * 1.25 = 7.5x
- School C: 8x + 25/100 * 8x = 8x * 1.25 = 10x
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Therefore, the new ratio of students in schools A, B, and C is 6.5:7.5:10.
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However, to make this ratio simpler and more understandable, we can multiply each term by 2 to get rid of the decimal. This gives us a new ratio of 13:15:20.
So, the new ratio of students in schools A, B, and C after the increase is 13:15:20.
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