A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts.

What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?

Correct Option: 22.7

Step-by-Step Explanation:
To find the percentage of higher education institutions (universities and colleges combined) that fall into Grade III, we first need to determine the total number of Grade III institutions and divide it by the total number of higher education institutions in the country.

1. Extract information from the provided pie charts:
From the Universities pie chart on the left, we observe the following distribution:
- Grade I = 31%
- Grade II = 62%
- Grade III = 7%

From the Colleges pie chart on the right, we observe the following distribution:
- Grade I = 9%
- Grade II = 68%
- Grade III = 23%

2. Calculate the number of Grade III Universities:
The country has a total of 504 universities. Since 7% of them are in Grade III, we calculate:

$\text{Grade III Universities}=7\%\text{of}504=0.07\times 504=35.28$

3. Calculate the number of Grade III Colleges:
The country has a total of 25,951 colleges. Since 23% of them are in Grade III, we calculate:

$\text{Grade III Colleges}=23\%\text{of}25951=0.23\times 25951=5968.73$

4. Calculate the total number of Grade III Institutions:
By adding the Grade III universities and colleges together, we get:

$\text{Total Grade III Institutions}=35.28+5968.73=6004.01$

5. Calculate the total number of higher education institutions:
The total number of universities and colleges combined is:

$\text{Total Institutions}=504+25951=26455$

6. Determine the percentage of Grade III institutions:
Finally, we calculate the percentage of Grade III institutions out of the total institutions:

$\text{Percentage}=\left(\frac{6004.01}{26455}\right)\times 100\approx 22.6952\%$

Rounding this to one decimal place, we obtain 22.7%.