Question

Every month, the sixth-grade students at Madison Middle School vote to decide which of two fun subjects they will learn about during homeroom. This month, there were 8 students who voted to learn about magnets for every 3 who voted to learn about magic tricks. Pick the diagram that models the ratio in the story. If 25 more students voted to learn about magnets than voted to learn about magic tricks, how many students voted to learn about magnets?

a) 32
b) 40
c) 48
d) 56

Answer 1

The diagram that models the ratio in the story is option c) 48.

Step-by-step explanation:

In the given scenario, the ratio of students who voted to learn about magnets to those who voted for magic tricks is 8:3. This means that for every 8 students interested in magnets, there are 3 students interested in magic tricks.

To find the total number of parts, add the two parts of the ratio: 8 (magnets) + 3 (magic tricks) = 11.

Since the question states that 25 more students voted to learn about magnets than magic tricks, we can divide the total number of students by the total parts of the ratio (11) to find the value of one part. 25 students represent 2 parts of the ratio (25/2 = 12.5 per part).

Now, multiply the number of parts for magnets (8) by the value of one part (12.5) to find the total number of students who voted for magnets: 8 * 12.5 = 100.

In summary, the correct answer is option c) 48 students voted to learn about magnets.