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%

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To find the total number of mountains and beaches in country F, we can break down the calculation into the following steps:

Step 1: Extract data from the bar graph for countries B and D
From the given bar graph, the y-axis representing the number of beaches has major markings every 25 units with 5 grid subdivisions. Thus, each small grid line represents:

$\frac{25}{5}=5\text{units}$

By reading the bar heights:
- For country B, the bar is exactly one grid line above 75:

$\text{Beaches in B}=75+5=80$

- For country D, the bar aligns exactly with the 150 grid line:

$\text{Beaches in D}=150$

Step 2: Calculate the number of mountains in country D
According to the table, the percentage of mountains out of the total (beaches + mountains) in country D is 80%.
Let $M_{\text{D}}$ be the number of mountains in country D, and $B_{\text{D}}$ be the number of beaches in country D ($B_{\text{D}}=150$).

$\frac{M_{\text{D}}}{M_{\text{D}}+150}=\frac{80}{100}=0.8$

$M_{\text{D}}=0.8(M_{\text{D}}+150)$

$M_{\text{D}}=0.8M_{\text{D}}+120$

$0.2M_{\text{D}}=120$

$M_{\text{D}}=\frac{120}{0.2}=600$

Thus, the total number of mountains in country D is 600.

Step 3: Determine the number of mountains in country F
The number of mountains in F and D is in the ratio of 3:8 respectively.

$M_{\text{F}}=\frac{3}{8}\times M_{\text{D}}$

$M_{\text{F}}=\frac{3}{8}\times 600=3\times 75=225$

So, country F has 225 mountains.

Step 4: Determine the number of beaches in country F
The number of beaches in F is 20% less than that in country B.

$B_{\text{F}}=80\times (1-0.20)$

$B_{\text{F}}=80\times 0.80=64$

So, country F has 64 beaches.

Step 5: Calculate the combined sum of mountains and beaches in country F

$\text{Total}=M_{\text{F}}+B_{\text{F}}$

$\text{Total}=225+64=289$

Therefore, the total number of mountains and beaches in country F is 289.