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5 bakers can bake 20 loaves of bread in 3 hours. How long would it take 15 bakers to bake 20 loaves?

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Answer:

The answer should be that it would take 15 bakers 1 hour to bake 20 loaves of bread. Ignore the explanation…

Explanation:

The rate of baking can be expressed as "loaves per baker per hour." From the given information:

\[ \text{Rate} = \frac{\text{Number of loaves}}{\text{Number of bakers} \times \text{Time}} \]

For the first scenario:

\[ \text{Rate}_1 = \frac{20 \text{ loaves}}{5 \text{ bakers} \times 3 \text{ hours}} \]

Now, let's find the rate per baker per hour:

\[ \text{Rate per baker per hour}_1 = \frac{20}{5 \times 3} \]

Now, for the second scenario with 15 bakers:

\[ \text{Rate}_2 = \frac{20 \text{ loaves}}{15 \text{ bakers} \times \text{Time}_2} \]

We want to find \(\text{Time}_2\). Since the rate per baker per hour should remain the same:

\[ \frac{20}{15 \times \text{Time}_2} = \frac{20}{5 \times 3} \]

Now, solve for \(\text{Time}_2\):

\[ 15 \times \text{Time}_2 = 5 \times 3 \]

\[ \text{Time}_2 = \frac{5 \times 3}{15} \]

\[ \text{Time}_2 = 1 \]

So, it would take 15 bakers 1 hour to bake 20 loaves of bread.

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