Final answer:
To find the number of students who liked both math and science, we can use a Venn Diagram and calculate from the given information.
Step-by-step explanation:
To find how many students liked both math and science, we can start by drawing a Venn diagram with two overlapping circles. Label the circles 'Math' and 'Science'. Since 20% liked math and 30% liked science, we can calculate the number of students who liked math and science by taking 20% of the total number of students and 30% of the total number of students, respectively. To find the number of students who liked both, we need to find the overlapping area of the circles. Subtract the percentage of students who liked none of them (25%) from the sum of the percentage of students who liked math and the percentage of students who liked science. This will give us the percentage of students who liked both. Finally, multiply this percentage by the total number of students to find the actual number of students who liked both math and science.