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Paul took a total of 30 pages of notes during 15 hours of class. In all, how many hours willPaul have to spend in class before he will have a total of 32 pages of notes in his notebook?Assume the relationship is directly proportional.

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ANSWER:

16 hours

STEP-BY-STEP EXPLANATION:

Since the relationship is directly proportional, we can establish the following relation:

If there are 30 pages in 15 hours, how many hours will the 32 pages be:

[tex]\frac{15}{30}=\frac{x}{32}[/tex]

Solving for x:

[tex]\begin{gathered} x=\frac{15\cdot32}{30} \\ x=16 \end{gathered}[/tex]

The number of hours is 16

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