Answer:
28%
Explanation:
Let's assume that there are 2x girls and 3x boys in the school, as given the ratio of girls to boys is 2:3. Therefore, the total number of students in the school is 5x.
According to the problem, 25% of the girls have school dinners. So, the number of girls having school dinners is 0.25*2x = 0.5x.
Similarly, 30% of the boys have school dinners. So, the number of boys having school dinners is 0.3*3x = 0.9x.
Therefore, the total number of students having school dinners is 0.5x + 0.9x = 1.4x.
The percentage of students having school dinners can be found by dividing the total number of students having school dinners by the total number of students in the school and multiplying by 100%.
So, the percentage of students having school dinners is (1.4x/5x) * 100% = 28%.
Hence, the total percentage of students at the school who have school dinners is 28%.
To verify the answer, let's consider a numerical example.
Let's assume there are 200 students in the school, out of which 2/5 (i.e., 40%) are girls and 3/5 (i.e., 60%) are boys.
According to the problem, 25% of the girls have school dinners, which is 0.25 * 2/5 * 200 = 20 students.
Similarly, 30% of the boys have school dinners, which is 0.3 * 3/5 * 200 = 36 students.
Therefore, the total number of students having school dinners is 20 + 36 = 56.
The percentage of students having school dinners is (56/200) * 100% = 28%.
Hence, the answer is verified.