3.1.2 Dividing a quantity into a given ratio

• What does a ratio compare?

  Two or more quantities
• What does the 'given quantity' represent in the context of dividing a quantity into a given ratio?

  The total amount to split
• What do you add together to find the total number of parts in a ratio?

  All the parts
• What is the given ratio in the example of dividing £50 between Amy and Ben?

  2:3
• What should you multiply the value of one part by to determine how much each person receives?

  Each number in the ratio
• How do you find the value of one part in a ratio problem?

  Divide total quantity by total parts
• What is the value of one part when £50 is divided into 5 parts?

  £10
• In the example table, how much was allocated to Amy?

  £20
• Match each friend with their ratio parts and final allocation:

  Amy ↔️ 2 parts, £20

  Ben ↔️ 3 parts, £30
• What does it mean if the sum of divided quantities matches the original quantity?

  Division is correct
• A ratio must always compare two quantities.

  False
• What should you compare the sum of divided quantities to when verifying their accuracy?

  Original quantity
• What does the total number of parts in a ratio represent?

  Equal divisions of quantity