GCSE Maths - Proportional division #86

The video tutorial explains how to solve problems involving splitting a total amount into parts based on a given ratio. It uses two examples: one with Jack and Jill sharing 280 lbs in a 3:4 ratio, and another with three cats sharing 72 treats in a 3:4:5 ratio. The tutorial demonstrates how to calculate the value of each part and determine individual shares, emphasizing the importance of understanding the total number of parts and the value of each part.

What is the first step in solving a problem where a total amount is divided into parts based on a ratio?

• Add the total amount to the ratio.

• Subtract the smaller ratio from the larger ratio.

• Divide the total amount by the sum of the ratio parts.

• Multiply the total amount by the ratio.

In the example of Jack and Jill, how many parts is the total amount divided into?

• 3 parts

• 4 parts

• 10 parts

• 7 parts

How much does each part represent in the Jack and Jill example?

• £20

• £30

• £40

• £50

In the example with the three cats, how many total parts are the treats divided into?

• 10 parts

• 11 parts

• 9 parts

• 12 parts

How many more treats does Felix receive compared to Fluffy?

• 6 more treats

• 8 more treats

• 10 more treats

• 12 more treats