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?
____ students

Explanation:

Step1: Identify ratio difference

The ratio of magnets to magic tricks votes is $8:3$. The difference in parts is $8 - 3 = 5$.

Step2: Find value per part

25 more students voted for magnets, so each part equals $\frac{25}{5}=5$.

Step3: Calculate magnet votes

Magnets have 8 parts, so total votes are $8\times5=40$.

Step4: Match correct diagram

The first diagram has 8 sections for magnets and 3 for magic tricks, matching the $8:3$ ratio.

Answer:

1. Correct diagram: The top diagram with 8 purple sections (magnets) and 3 orange sections (magic tricks)
2. Number of students who voted for magnets: 40 students