Ratio, proportion and rates of changeKey Stage 3

Sharing an amount in a two-part ratio

Share a total into two proportional parts.

  • Add the ratio parts to find the total number of equal units.
  • Divide the total by that number to find one unit.
  • Multiply by each ratio part and check that the shares add to the total.

Example 1

Share £60 between Amir and Beth in the ratio .

2 of 5 equal parts. Whole: 60. Selected amount: 24.Whole = 6012121212122 parts = 24
Count all the equal parts.Find the value of one part.Apply this to both sides.

Example 2

Share £72 between Amir and Beth in the ratio .

3 of 8 equal parts. Whole: 72. Selected amount: 27.Whole = 72999999993 parts = 27
Count all the equal parts.Find the value of one part.Apply this to both sides.

Remember
Multiply by each ratio part and check that the shares add to the total.

Your turn

Question 1

Share £55 between Amir and Beth in the ratio .

Check answer2 of 5 equal parts. Whole: 55. Selected amount: 22.Whole = 5511111111112 parts = 22
Count all the equal parts.Find the value of one part.Apply this to both sides.
Question 2

Share £56 between Amir and Beth in the ratio .

Check answer3 of 8 equal parts. Whole: 56. Selected amount: 21.Whole = 56777777773 parts = 21
Count all the equal parts.Find the value of one part.Apply this to both sides.
Question 3

Share £100 between Amir and Beth in the ratio .

Check answer2 of 5 equal parts. Whole: 100. Selected amount: 40.Whole = 10020202020202 parts = 40
Count all the equal parts.Find the value of one part.Apply this to both sides.
Question 4

Share £66 between Amir and Beth in the ratio .

Check answer2 of 3 equal parts. Whole: 66. Selected amount: 44.Whole = 662222222 parts = 44
Count all the equal parts.Find the value of one part.Apply this to both sides.
Question 5

Share £203 between Amir and Beth in the ratio .

Check answer2 of 7 equal parts. Whole: 203. Selected amount: 58.Whole = 203292929292929292 parts = 58
Count all the equal parts.Find the value of one part.Apply this to both sides.
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