Ratios: Proportion and Rates of Change

The video tutorial explains a math problem involving people in a cinema, where 3/5 are children. The ratio of girls to boys is 2:7, with 170 girls present. The tutorial guides through calculating the number of boys, total children, and adults using ratios and fractions. It also discusses the allocation of marks for each step in solving the problem.

What fraction of the people in the cinema are children?

• 1/3

• 2/3

• 3/5

• 1/2

If there are 170 girls in the cinema, how many boys are there according to the given ratio?

• 340

• 680

• 510

• 595

What is the total number of children in the cinema?

• 595

• 680

• 765

• 850

If 3/5 of the cinema audience are children, what is the total number of people in the cinema?

• 765

• 1020

• 1275

• 850

How many adults are there in the cinema?

• 595

• 510

• 340

• 255

What was the first step in solving the problem?

• Calculating the number of adults

• Finding the total number of people

• Determining the number of girls

• Calculating the number of boys

How many marks were allocated for calculating the number of adults?

• 3

• 2

• 1

• 4