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
Solution :
First, we determine the total number of beaches in countries C and E from the provided bar graph:
The y-axis is labeled at intervals of 50 units (0, 50, 100, 150), and there are 5 grid divisions between each major interval. Thus, each grid line represents:
- For Country C, the bar reaches 2 grid lines above 100:
- For Country E, the bar reaches 1 grid line above 50:
Next, we calculate the number of rocky and sandy beaches in Country C:
We are given that 25% of the beaches in C are rocky:
The remaining beaches in C are sandy:
Now, we find the number of sandy beaches in Country E:
The average number of sandy beaches in C and E is given as 60:
Substitute the sandy beaches of C (90) into the equation:
Now, we find the number of rocky beaches in Country E:
Since the total number of beaches in E is 60:
Finally, we calculate the number of rocky beaches in E and C together:
The correct answer is 60.
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