AI generatedRatio, proportion and rates of changeKey Stage 3

Finding the whole from one ratio share

The known share represents its own number of ratio parts, not the total number.

  • The known share represents its own number of ratio parts, not the total number.
  • Divide the known amount by its ratio number to find one part.
  • Add the ratio parts, then multiply by the value of one part to find the whole.

Example 1

Ali : Bea = 2 : 3. Ali receives £6. How much do they receive altogether?

Ali receives 2 parts.The whole contains both shares.

Example 2

Ali : Bea = 3 : 4. Ali receives £12. How much do they receive altogether?

Ali receives 3 parts.The whole contains both shares.

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

Your turn

Question 1

Ali : Bea = 4 : 5. Ali receives £20. How much do they receive altogether?

Check answer
Ali receives 4 parts.The whole contains both shares.
Question 2

Ali : Bea = 5 : 6. Ali receives £30. How much do they receive altogether?

Check answer
Ali receives 5 parts.The whole contains both shares.
Question 3

Ali : Bea = 6 : 7. Ali receives £42. How much do they receive altogether?

Check answer
Ali receives 6 parts.The whole contains both shares.
Question 4

Ali : Bea = 7 : 8. Ali receives £21. How much do they receive altogether?

Check answer
Ali receives 7 parts.The whole contains both shares.
Question 5

Ali : Bea = 8 : 9. Ali receives £32. How much do they receive altogether?

Check answer
Ali receives 8 parts.The whole contains both shares.
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