Answer:
(a) 8.2h = 32.8
(b) h = 4
Explanation:
(a)
Converting 8 1/5 and 32 4/5 to decimals:
- For the sake of simplicity, we can convert 8 1/5 and 32 4/5 decimals
- 8 1/5 as as a decimal is 8.2, while 32 4/5 as a decimal is 32.8
This means that Maxwell can write 8.2 paragraphs of his novel in an hour and that he wrote 32.8 paragraphs today.
The number of paragraphs Maxwell writes are proportional to the number of hours.
If we allow h to represent the number of hours he wrote, we can use the following proportions to find h:
8.2 paragraphs / 1 hr = 32.8 paragraphs / h
8.2 = 32.8 / h
Thus, we can use the equation 8.2 = 32.8/h to find the number of hours it took Maxwell to write 32.8 paragraphs.
(b)
- Now we can determine the amount of time in hours it took Maxwell to write 32.8 paragraphs.
Step 1: Multiply both sides by h:
(8.2 = 32.8/h) * h
8.2h = 32.8
Step 2: Divide both sides by 8.2 to solve for h:
(8.2h = 32.8) / 8.2
h = 4
Thus, it took Maxwell 4 hours to write 32.8 hours.