Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Question
Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Solution
Sure, let's solve this step by step:
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First, let's denote the current number of seats for Mathematics, Physics, and Biology as 5x, 7x, and 8x respectively (x is a common variable representing the common multiplier in the ratio).
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According to the proposal, the seats will be increased by 40%, 50%, and 75% respectively. This means the new number of seats will be:
- For Mathematics: 5x + 40/100 * 5x = 5x * 1.4 = 7x
- For Physics: 7x + 50/100 * 7x = 7x * 1.5 = 10.5x
- For Biology: 8x + 75/100 * 8x = 8x * 1.75 = 14x
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Therefore, the new ratio of seats for Mathematics, Physics, and Biology will be 7:10.5:14.
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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 final ratio of 14:21:28.
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