Math  /  Algebra

QuestionA woman owns a dog walking business. If 2 workers can walk 8 dogs, how many dogs can 3 workers walk?
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Studdy Solution

STEP 1

What is this asking? If two dog walkers can handle 8 pups, how many dogs can three walkers handle, assuming they all have the same dog-walking superpowers? Watch out! Don't just add 2 and 3, or 8 and 2, or anything like that!
Think about how much work *each* person can do.

STEP 2

1. Dogs per Walker
2. Total Dog Walking Power

STEP 3

Alright, let's **figure out** how many dogs *each* worker can walk.
If 2 workers\text{2 workers} can walk 8 dogs\text{8 dogs}, then 1 worker\text{1 worker} can walk 8 dogs2 workers=4dogsworker\frac{\text{8 dogs}}{\text{2 workers}} = \text{4}\frac{\text{dogs}}{\text{worker}}.
So, each worker has the power to walk **4 dogs**!

STEP 4

Now, we have **3 workers**, and each can walk **4 dogs**.
So, together, they can walk a total of 3 workers4dogsworker=12 dogs.\text{3 workers} \cdot \text{4}\frac{\text{dogs}}{\text{worker}} = \text{12 dogs}.

STEP 5

So, our **final answer** is 12\text{12} dogs!

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