Let's analyze the content of the image and solve the mathematical problems shown.

Question 17

• Total visitors: 70 people (children and adults).
• For every 9 children, there are 5 adults.

We need to calculate the total number of children who came to the night market.

Solution:

The ratio of children to adults is $9:5$. The total parts in the ratio are: $9 + 5 = 14 \text{ parts.}$

The number of children corresponds to $\frac{9}{14}$ of the total visitors. Hence: $\text{Children} = \frac{9}{14} \times 70 = 45.$

Answer: A. 45

Question 18

• Total marbles in a box: 120 marbles.
• There are 80 blue marbles, and the rest are red marbles.
• We are asked to find the ratio of red marbles to the total number of marbles.

Solution:

The number of red marbles is: $120 - 80 = 40.$

The ratio of red marbles to the total is: $40 : 120 = \frac{40}{120} = \frac{1}{3}.$

Answer: D. 1:3

Do you want a detailed explanation for either of these problems? Here are some related questions for further practice:

1. If there were 90 visitors with the same 9:5 ratio, how many would be children?
2. What would the ratio of red marbles to blue marbles be in Question 18?
3. How would the answer to Question 17 change if the ratio was 3:2 instead of 9:5?
4. If the total number of marbles increased to 150, but the ratio stayed the same, how many red marbles would there be?
5. If there were 100 visitors and 60 children, what would the new ratio of children to adults be?

Tip: Ratios are powerful tools to simplify real-world problems by scaling quantities proportionally!