AI generatedRatio, proportion and rates of changeKS3 / GCSE

Sharing an amount in a three-part ratio

Add all three ratio parts to find how many equal parts make the whole.

  • Add all three ratio parts to find how many equal parts make the whole.
  • Divide the total by that sum to find the value of one part.
  • Multiply by each ratio number. The three shares must add to the original total.

Example 1

Share £21 in the ratio .

Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.Multiply each part by the same value.
£6.00, £9.00, £6.00

Example 2

Share £36 in the ratio .

Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.Multiply each part by the same value.
£12.00, £16.00, £8.00

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

Your turn

Question 1

Share £55 in the ratio .

Check answer
Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.Multiply each part by the same value.
£20.00, £25.00, £10.00

Check: the shares add to £55.

Question 2

Share £78 in the ratio .

Check answer
Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.Multiply each part by the same value.
£30.00, £36.00, £12.00

Check: the shares add to £78.

Question 3

Share £105 in the ratio .

Check answer
Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.Multiply each part by the same value.
£42.00, £49.00, £14.00

Check: the shares add to £105.

Question 4

Share £54 in the ratio .

Check answer
Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.Multiply each part by the same value.
£21.00, £24.00, £9.00

Check: the shares add to £54.

Question 5

Share £80 in the ratio .

Check answer
Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.Multiply each part by the same value.
£32.00, £36.00, £12.00

Check: the shares add to £80.

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