The total number of mountains in F and D is in the ratio of 3:8 respectively. If the total number of beaches in F is 20% less than that in B, then find the total number of mountains and baches in F.

Read the following bar graph and table carefully and answer the questions given below. The bar graph shows total number of beaches in five different countries. The table shows percentage of mountains out of total beaches and mountains together in these countries.

Countries	Percentage of mountains out of total beaches and mountains together
A	60%
B	75%
C	20%
D	80%
E	50%

.

The correct answer is 289.

Step-by-Step Explanation:

1. Extract Data from the Bar Graph and Table:
By inspecting the provided bar graph showing the total number of beaches in each country:
• Total number of beaches in Country B = 80
• Total number of beaches in Country D = 150

From the provided table showing the percentage of mountains out of the total (beaches and mountains together):
• Percentage of mountains in Country D = 80%

2. Calculate the Number of Mountains in Country D:

Since mountains constitute 80% of the total landscape in Country D, beaches account for the remaining percentage:

$\text{Percentage of beaches in Country D}=100\%-80\%=20\%$

Knowing that 20% of the total in Country D corresponds to 150 beaches, the total number of beaches and mountains combined in Country D is:

$\text{Total in Country D}=\frac{150}{0.20}=750$

The total number of mountains in Country D is therefore:

$\text{Mountains in Country D}=80\%\times 750=600$

3. Calculate the Number of Mountains in Country F:

We are given that the ratio of mountains in F to mountains in D is 3 : 8.

$\text{Mountains in Country F}=\frac{3}{8}\times 600=225$

4. Calculate the Number of Beaches in Country F:

The total number of beaches in F is 20% less than that in B (which has 80 beaches):

$\text{Beaches in Country F}=80\times (1-0.20)=80\times 0.80=64$

5. Calculate the Total Number of Mountains and Beaches in Country F:

$\text{Total in Country F}=225+64=289$

Thus, the total number of mountains and beaches in Country F is 289.