Four cans of dog food will feed 3 dogs for 1 day.

a How many cans are needed to feed 10 dogs for 6 days?

To solve this problem, let's break it down step by step.

### Given:
- 4 cans of dog food will feed 3 dogs for 1 day.

### a) How many cans are needed to feed 10 dogs for 6 days?

#### Step 1: Find out how many cans are needed to feed 1 dog for 1 day.
If 4 cans feed 3 dogs for 1 day, then for 1 dog:

\[
\text{Cans per dog per day} = \frac{4 \text{ cans}}{3 \text{ dogs}} = \frac{4}{3} \text{ cans per dog per day}
\]

#### Step 2: Calculate the number of cans needed for 10 dogs for 1 day.
For 10 dogs:

\[
\text{Cans per day for 10 dogs} = 10 \times \frac{4}{3} = \frac{40}{3} \text{ cans per day}
\]

#### Step 3: Calculate the number of cans needed for 10 dogs for 6 days.
Finally, for 6 days:

\[
\text{Total cans needed} = 6 \times \frac{40}{3} = \frac{240}{3} = 80 \text{ cans}
\]

So, **80 cans** are needed to feed 10 dogs for 6 days.

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Do you want more details or have any questions?

Here are 5 related questions to expand on this topic:

1. How many cans are needed to feed 15 dogs for 4 days?
2. If 2 cans feed 1 dog for 2 days, how many dogs can 20 cans feed for 5 days?
3. How many days will 20 cans last for 5 dogs?
4. If the number of dogs doubles, how many cans are needed to feed them for the same number of days?
5. If 12 cans feed 9 dogs for 2 days, how many cans are needed to feed 12 dogs for 3 days?

**Tip:** When solving problems involving proportions, it’s helpful to break down the problem into simpler steps, finding out the rate per unit first.

Find out how many cans of dog food are required to feed 10 dogs for 6 days using proportions. Step-by-step solution provided.

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