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Math  /  Algebra

QuestionHenry can write 5 pages of his novel in 3 hours.
At this rate, how many pages can Henry write in 8 hours? □\square pages

Studdy Solution

STEP 1

1. Henry writes at a constant rate.
2. Henry can write 5 pages in 3 hours.
3. We need to find out how many pages Henry can write in 8 hours.

STEP 2

1. Determine Henry's writing rate in pages per hour.
2. Use the rate to calculate the number of pages Henry can write in 8 hours.

STEP 3

Determine Henry's writing rate in pages per hour.
To find the rate, divide the number of pages by the number of hours:
Rate=5 pages3 hours=53 pages per hour \text{Rate} = \frac{5 \text{ pages}}{3 \text{ hours}} = \frac{5}{3} \text{ pages per hour}

STEP 4

Use the rate to calculate the number of pages Henry can write in 8 hours.
Multiply the rate by the number of hours:
Pages in 8 hours=(53 pages per hour)×8 hours \text{Pages in 8 hours} = \left(\frac{5}{3} \text{ pages per hour}\right) \times 8 \text{ hours}
Pages in 8 hours=5×83 \text{Pages in 8 hours} = \frac{5 \times 8}{3}
Pages in 8 hours=403 \text{Pages in 8 hours} = \frac{40}{3}
Pages in 8 hours≈13.33 \text{Pages in 8 hours} \approx 13.33
Since Henry cannot write a fraction of a page, we round down to the nearest whole number:
13 \boxed{13}

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