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Luke can paint $91$ portraits in $7$ weeks. How many portraits can Luke paint in $4$ weeks?

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Identify quotients of rational numbers: word problems

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Q. Luke can paint

91

portraits in

7

weeks. How many portraits can Luke paint in

4

weeks?

Determine Rate per Week: Determine the rate at which Luke can paint portraits per week. $\newline$ To find out how many portraits Luke can paint per week, we divide the total number of portraits by the number of weeks. $\newline$ Rate $= \frac{\text{Total Portraits}}{\text{Total Weeks}}$ $\newline$ Rate $= \frac{91 \text{ portraits}}{7 \text{ weeks}}$
Calculate Rate: Calculate the rate at which Luke can paint portraits per week. $91$ portraits $\div$ $7$ weeks = $13$ portraits per week
Calculate Portraits in $4$ Weeks: Calculate the number of portraits Luke can paint in $4$ weeks. $\newline$ Now that we know Luke can paint $13$ portraits in one week, we multiply this rate by the number of weeks in question. $\newline$ Number of portraits in $4$ weeks = Rate per week $\times$ Number of weeks $\newline$ Number of portraits in $4$ weeks = $13$ portraits/week $\times$ $4$ weeks
Evaluate Expression: Evaluate the expression to find the number of portraits Luke can paint in $4$ weeks. $\newline$ $13$ portraits/week $\times 4$ weeks = $52$ portraits

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