Question

read the story.elmhurst school organized an ice cream social for the incoming sixth graders. at the social, 7 students chose vanilla ice cream for every 5 that chose chocolate ice cream.pick the diagram that models the ratio in the story.if 84 students chose vanilla ice cream, how many students chose chocolate ice cream?

Explanation:

Step1: Identify correct ratio diagram

The story states the ratio of vanilla to chocolate is 7:5, so the diagram with 7 boxes for vanilla and 5 boxes for chocolate (the right diagram) is the correct model.

Step2: Find value per unit box

Let each box represent $x$ students. 7 boxes = 84 students, so:
$x = \frac{84}{7} = 12$

Step3: Calculate chocolate students

Chocolate has 5 boxes, so total chocolate students:
$5 \times x = 5 \times 12 = 60$

Answer:

1. Correct diagram: The right diagram (7 boxes for vanilla, 5 boxes for chocolate)
2. Number of students who chose chocolate ice cream: 60