Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
well...not sure if my answer is right but...
so the original ratio is 5:7:8
the increase is 40%,50%, and 75% respectively...
so...
5 x 0.4 = 2
7 x 0.5 = 3.5
8 x 0.75 = 6
Therefore the new ratio is:
4:7:12 (remember you cant hav decimals)
and always remember...HERP THE DERP!!
Looks like you have the ratios of the increases, but I think they are asking about the final seat totals.
That would be
5*1.4 : 6*1.5 : 7*1.75
= 7:9:12.25
= 28:36:49
14:21:24
To find the ratio of the increased seats, we first need to calculate the number of seats after the increase. Let's assume the original number of seats for Mathematics, Physics, and Biology are 5x, 7x, and 8x respectively.
For Mathematics, the increase is 40%, which means the number of seats will be increased by 40% of 5x:
Increased seats for Mathematics = 5x + (40/100) * 5x = 5x + 2x = 7x
For Physics, the increase is 50%, which means the number of seats will be increased by 50% of 7x:
Increased seats for Physics = 7x + (50/100) * 7x = 7x + 3.5x = 10.5x
For Biology, the increase is 75%, which means the number of seats will be increased by 75% of 8x:
Increased seats for Biology = 8x + (75/100) * 8x = 8x + 6x = 14x
Now, we have the number of seats after the increase: Mathematics - 7x, Physics - 10.5x, Biology - 14x.
To find the ratio, we divide all the numbers by the common factor of x:
Mathematics: 7x/x = 7
Physics: 10.5x/x = 10.5
Biology: 14x/x = 14
Therefore, the ratio of the increased seats will be 7:10.5:14.