This lesson covers the two elements of ratio that frequently catch students out.

As with all other ratio questions though, the trick is finding what one part is worth.

**Example 1: One part of the ratio is given.**

Orange Juice is made from concentrate and water in the ratio 2:5.

If we use 300ml of concentrate, how much water do we need.

**Step 1: ****Identify**** how many parts the number you are told is worth. **

We are told that we use 300 ml of concentrate. In the ratio, we are told that this is worth 2 parts

**Step 2: Find out what 1 part is worth**

We know that 2 parts is 300 ml

So one part must be 150 ml

**Step 3: Work out the answer**

We are asked for how much water we need and we are told that this is 5 parts.

5 x 150 ml = 750 ml

**Example 2: The difference is given**

Two people split some money into the ratio 2:7.

If one gets £250 more than the other, how much do they split in total?

**Step 1: ****Identify**** how many parts the number you are told is worth. **

We are told that we use £250 is the difference between the 7 parts and the 2 parts. This means it must be worth 5 parts.

**Step 2: Find out what 1 part is worth**

We know that 5 parts is £250

So one part must be $50

**Step 3: Work out the answer**

We are asked for how much was split in total. This is both the 2 and 7 parts so 9 parts in total

9 x £50 = £450