Question

read the story.
ryan earned badges at camp evergreen for completing different activities. he earned 7 outdoor activity badges for every 3 indoor activity badges.
pick the diagram that models the ratio in the story.
if ryan earned 6 indoor activity badges, how many badges did he earn in all?
____ badges

Explanation:

Step1: Identify the ratio

The ratio of outdoor to indoor badges is $7:3$.

Step2: Match ratio to diagram

The second diagram has 7 outdoor blocks and 3 indoor blocks, which matches $7:3$.

Step3: Find outdoor badges for 6 indoor

Let $x$ = outdoor badges. $\frac{x}{6}=\frac{7}{3}$, so $x=\frac{7\times6}{3}=14$.

Step4: Calculate total badges

Total = outdoor + indoor = $14+6=20$.

Answer:

1. Correct diagram: The second diagram (7 purple outdoor blocks, 3 orange indoor blocks)
2. 20 badges