25% of the total number of beaches in C are rocky, and the remaining are sandy. If the average number of sandy beaches in C and E is 60, then find the number of rocky beaches in E and C together.

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%

Correct Answer: 60

Step-by-step explanation:

From the provided bar graph showing the total number of beaches in different countries, we extract the data for countries C and E:

• Total number of beaches in country C = 120

• Total number of beaches in country E = 60

Step 1: Calculate the number of rocky and sandy beaches in country C

We are given that 25% of the total number of beaches in country C are rocky, and the remaining beaches are sandy.

Number of rocky beaches in country C:

$\text{Rocky beaches in C}=25\%\times 120=\frac{25}{100}\times 120=30$

Number of sandy beaches in country C:

$\text{Sandy beaches in C}=120-30=90$

Step 2: Calculate the number of sandy beaches in country E

The problem states that the average number of sandy beaches in C and E is 60.

$\frac{\text{Sandy beaches in C}+\text{Sandy beaches in E}}{2}=60$

$\text{Sandy beaches in C}+\text{Sandy beaches in E}=60\times 2=120$

Substituting the value of sandy beaches in C (90):

$90+\text{Sandy beaches in E}=120$

$\text{Sandy beaches in E}=120-90=30$

Step 3: Calculate the number of rocky beaches in country E

Since the total number of beaches in country E is 60, the number of rocky beaches in country E is:

$\text{Rocky beaches in E}=\text{Total beaches in E}-\text{Sandy beaches in E}$

$\text{Rocky beaches in E}=60-30=30$

Step 4: Find the total number of rocky beaches in E and C together

$\text{Total rocky beaches in E and C}=\text{Rocky beaches in C}+\text{Rocky beaches in E}$

$\text{Total rocky beaches in E and C}=30+30=60$

Therefore, the total number of rocky beaches in E and C together is 60.