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Lindsey took a total of $10$ pages of notes during $5$ hours of class. After attending $9$ hours of class, how many total pages of notes will Lindsey have in her notebook? Assume the relationship is directly proportional. $\newline$ _____ pages

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Solve proportions: word problems

Full solution

Q. Lindsey took a total of

10

pages of notes during

5

hours of class. After attending

9

hours of class, how many total pages of notes will Lindsey have in her notebook? Assume the relationship is directly proportional.

\newline

_____ pages

Identify values, set up proportion: Identify the known values and set up the proportion. Lindsey took $10$ pages of notes in $5$ hours. We need to find out how many pages she will have after $9$ hours. Set up the proportion based on the direct relationship: $\frac{10 \text{ pages}}{5 \text{ hours}} = \frac{x \text{ pages}}{9 \text{ hours}}$
Cross-multiply to solve: Cross-multiply to solve for $x$ . $10 \times 9 = 5 \times x$ $90 = 5x$
Divide to isolate x: Divide both sides by $5$ to isolate $x$ . $\frac{90}{5} = x$ $18 = x$

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