Question

read the story.
barry is on the school tennis team. at practice yesterday, he did 3 forehand strokes for every 2 backhand strokes.
pick the diagram that models the ratio in the story.
barry did 50 strokes when he practiced yesterday, and all were either forehand or backhand.
how many backhand strokes did he do?
____ backhand strokes

Explanation:

Step1: Identify the ratio

The ratio of forehand to backhand strokes is $3:2$. So the correct diagram is the second one (3 green boxes for forehand, 2 purple boxes for backhand).

Step2: Find total ratio parts

Add the ratio components:
$3 + 2 = 5$

Step3: Calculate strokes per part

Divide total strokes by total parts:
$\frac{50}{5} = 10$

Step4: Find backhand strokes

Multiply backhand ratio parts by per-part strokes:
$2 \times 10 = 20$

Answer:

1. Correct diagram: The second diagram (3 green boxes labeled "forehand", 2 purple boxes labeled "backhand")
2. 20 backhand strokes