Question

How do you solve ratio and proportion problems?

Answer 1

There are several types of ratio and proportion problems. Usually the question gives `n` things with their ratios and the sum of `n` things.

Example

John and Mike have `$50` with ratio `2/3`

To solve this, you simply do the followings:

John has `2k` money and Mike has `3k` money. Since the total money is `$50`:

`2k+3k=50`

`k=10`

So John has `$20` and Mike has `$30`.

The core idea is using a variable like `k` to distribute the things as in the given ratio. Then by using the other given information you can solve the problem easily.