Mixing quantities in a given ratio Revision Card

Keep the ingredients in the same order as the ratio.

Keep the ingredients in the same order as the ratio.
Use a known ingredient amount to find one ratio part, then scale the other ingredient.
If the total mixture is given, divide it by the sum of the parts instead.

Example 1

A drink uses concentrate : water = 2 : 3. How much water is needed for 60 ml of concentrate?

The concentrate represents 2 parts.

Water represents 3 parts.

A drink uses concentrate : water = 3 : 4. How much water is needed for 120 ml of concentrate?

The concentrate represents 3 parts.

Water represents 4 parts.

Remember
Use the worked steps to check your method, not just the final answer.

Question 1

A drink uses concentrate : water = 4 : 5. How much water is needed for 200 ml of concentrate?

Check answer

The concentrate represents 4 parts.

Water represents 5 parts.

Question 2

A drink uses concentrate : water = 5 : 6. How much water is needed for 300 ml of concentrate?

Check answer

The concentrate represents 5 parts.

Water represents 6 parts.

Question 3

A drink uses concentrate : water = 6 : 7. How much water is needed for 420 ml of concentrate?

Check answer

The concentrate represents 6 parts.

Water represents 7 parts.

Question 4

A drink uses concentrate : water = 7 : 8. How much water is needed for 210 ml of concentrate?

Check answer

The concentrate represents 7 parts.

Water represents 8 parts.

Question 5

A drink uses concentrate : water = 8 : 9. How much water is needed for 320 ml of concentrate?

Check answer

The concentrate represents 8 parts.

Water represents 9 parts.