The problem states that the area of Kento's schoolyard is 600 $m^2$. $\frac{2}{5}$ of the schoolyard is a flower bed, and 150 $m^2$ of the remaining area is lawn. Question 1: What is the area of the flower bed in $m^2$? Question 2: The area of the flower bed is how many times the area of the lawn?

1. Problem Description

The problem states that the area of Kento's schoolyard is 600 $m^2$. $\frac{2}{5}$ of the schoolyard is a flower bed, and 150 $m^2$ of the remaining area is lawn.

Question 1: What is the area of the flower bed in $m^2$?

Question 2: The area of the flower bed is how many times the area of the lawn?

2. Solution Steps

Question 1:

First we need to find the area of the flower bed which is $\frac{2}{5}$ of the total area which is 600 $m^2$.

To find the area of the flower bed we can multiply the fraction by the total area:

Flower bed area = $\frac{2}{5} \times 600$

Flower bed area = $\frac{2 \times 600}{5}$

Flower bed area = $\frac{1200}{5}$

Flower bed area = 240 $m^2$

Question 2:

The area of the flower bed is 240 $m^2$.

The area of the lawn is 150 $m^2$.

We want to find how many times the area of the flower bed is the area of the lawn.

To do this, we need to divide the area of the flower bed by the area of the lawn.

Ratio = $\frac{\text{Area of flower bed}}{\text{Area of lawn}}$

Ratio = $\frac{240}{150}$

Ratio = $\frac{24}{15}$

Ratio = $\frac{8}{5}$

Ratio = 1.6

3. Final Answer

Question 1: 240 $m^2$

Question 2: 1.6