Question
Luke can paint 91 portraits in 7 weeks. How many portraits can Luke paint in 4 weeks? \( \square \) portraits
Ask by Mccarthy Rogers. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Luke can paint 52 portraits in 4 weeks.
Solution
To determine how many portraits Luke can paint in 4 weeks, we can use a proportion based on his painting rate.
**Given:**
- Luke paints **91 portraits** in **7 weeks**.
**Find:**
- Number of portraits Luke can paint in **4 weeks**.
**Step 1: Determine the painting rate per week.**
\[
\text{Painting Rate} = \frac{91 \text{ portraits}}{7 \text{ weeks}} = 13 \text{ portraits per week}
\]
**Step 2: Calculate the number of portraits in 4 weeks.**
\[
\text{Portraits in 4 Weeks} = 13 \text{ portraits/week} \times 4 \text{ weeks} = 52 \text{ portraits}
\]
\[
\boxed{52} \text{ portraits}
\]
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Simplify this solution Mind Expander
In 7 weeks, Luke paints 91 portraits, which means he paints an average of 13 portraits per week (91 divided by 7). If we want to find out how many portraits he can paint in 4 weeks, we simply multiply his weekly rate by 4. So, 13 portraits per week multiplied by 4 weeks equals 52 portraits. Therefore, Luke can paint \( 52 \) portraits in 4 weeks! Now, if you find yourself in a similar situation, remember that breaking it down into weekly rates can simplify complex problems. It's about finding the right pace and scaling it up or down, making it easier to think through!
