AI generatedRatio, proportion and rates of changeKS3 / GCSE

Changing a ratio after removing quantities

Use the actual amounts, not just their simplified ratio.

  • Use the actual amounts, not just their simplified ratio.
  • Subtract the removed quantities from the correct categories.
  • Compare the remaining amounts in the original order and simplify.

Example 1

A bag contains 6 red counters and 9 blue counters. 1 red counter is removed and 1 blue counter is removed. Find the new ratio of red to blue.

Change the red amount.Change the blue amount.Write red : blue using the new amounts.

Example 2

A bag contains 12 red counters and 16 blue counters. 2 red counters are removed and 2 blue counters are removed. Find the new ratio of red to blue.

Change the red amount.Change the blue amount.Write red : blue using the new amounts.

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

Your turn

Question 1

A bag contains 20 red counters and 25 blue counters. 3 red counters are removed and 3 blue counters are removed. Find the new ratio of red to blue.

Check answer
Change the red amount.Change the blue amount.Write red : blue using the new amounts.
Question 2

A bag contains 30 red counters and 36 blue counters. 4 red counters are removed and 4 blue counters are removed. Find the new ratio of red to blue.

Check answer
Change the red amount.Change the blue amount.Write red : blue using the new amounts.
Question 3

A bag contains 42 red counters and 49 blue counters. 5 red counters are removed and 5 blue counters are removed. Find the new ratio of red to blue.

Check answer
Change the red amount.Change the blue amount.Write red : blue using the new amounts.
Question 4

A bag contains 21 red counters and 24 blue counters. 6 red counters are removed and 6 blue counters are removed. Find the new ratio of red to blue.

Check answer
Change the red amount.Change the blue amount.Write red : blue using the new amounts.
Question 5

A bag contains 32 red counters and 36 blue counters. 7 red counters are removed and 7 blue counters are removed. Find the new ratio of red to blue.

Check answer
Change the red amount.Change the blue amount.Write red : blue using the new amounts.
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