# How do you solve ratio and proportion problems?

Apr 3, 2015

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 $\frac{2}{3}$To solve this, you simply do the followings: John has $2 k$money and Mike has $3 k$money. Since the total money is $50:

$2 k + 3 k = 50$

$k = 10$

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.