Questions: If 2 people can paint 3 chairs in a day, how many chairs can 30 people paint in a day? a. 20 b. 18 c. 45 d. 12 e. 15

If 2 people can paint 3 chairs in a day, how many chairs can 30 people paint in a day? a. 20 b. 18 c. 45 d. 12 e. 15
Transcript text: If 2 people can paint 3 chairs in a day, how many chairs can 30 people paint in a day? a. 20 b. 18 c. 45 d. 12 e. 15
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Solution

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Solution Steps

To determine how many chairs 30 people can paint in a day, we can use a proportion based on the given information. If 2 people can paint 3 chairs in a day, we can set up a ratio to find out how many chairs 30 people can paint in a day.

Step 1: Establish the Relationship

We know that \( 2 \) people can paint \( 3 \) chairs in a day. This gives us a rate of painting chairs per person per day. The rate can be expressed as: \[ \text{Rate} = \frac{3 \text{ chairs}}{2 \text{ people}} = 1.5 \text{ chairs per person} \]

Step 2: Calculate for 30 People

To find out how many chairs \( 30 \) people can paint in a day, we multiply the rate by the number of people: \[ \text{Chairs painted} = 30 \text{ people} \times 1.5 \text{ chairs per person} = 45 \text{ chairs} \]

Final Answer

The answer is \( \boxed{45} \).

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