Question

The ratio of balls in three boxes is 6:8:9. In what ratio should the balls in the second and third boxes be increased, so that the final ratio becomes
1:3:4?​The ratio of balls in three boxes is 6:8:9. In what ratio should the balls in the second and third boxes be increased, so that the final ratio becomes
1:3:4?​

Answer 1

Answer:

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Answer 2

0

The best way to approach this problem is to work backwards. The final ratio is 1:3:4. To make this answer more concrete, let's imagine that there are white balls, red balls, and black balls. This means that for 1 white ball, there will be 3 red balls, and 4 black balls. One important thing to note about ratios is that they can be scaled up:

This means that 1:3:4=6:18:24. Scaling this ratio is useful because it allows us to consider how we can get the final ratio to be 1:3:4, without changing the number of white balls, as per the requirements of the question. This seems to be the approach that you have took.

We need to go from

6 white balls, 8 red balls, and 9 black balls

to

6 white balls, 18 red balls, and 24 black balls