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Kylie wrote a total of $14$ pages over $7$ hours. How many hours will Kylie have to spend writing this week in order to have written a total of $20$ pages? Assume the relationship is directly proportional. $\newline$ _____ hours

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Solve proportions: word problems

Full solution

Q. Kylie wrote a total of

14

pages over

7

hours. How many hours will Kylie have to spend writing this week in order to have written a total of

20

pages? Assume the relationship is directly proportional.

\newline

_____ hours

Identify Rate per Hour: Step $1$ : Identify the rate of pages written per hour. $\newline$ Calculation: $14$ pages / $7$ hours = $2$ pages per hour.
Determine Additional Pages: Step $2$ : Determine the additional number of pages Kylie needs to write to reach $20$ pages. $\newline$ Calculation: $20$ pages - $14$ pages = $6$ pages.
Calculate Hours Needed: Step $3$ : Calculate the number of hours required to write the additional $6$ pages, using the rate from Step $1$ . $\newline$ Calculation: $\frac{6 \text{ pages}}{2 \text{ pages per hour}} = 3$ hours.

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