Antoine estimates he can read one and a quarter chapter of a novel in one hour. Jenna estimates she can read three chapters of the same novel in 2 5/6 hours. Antoine read for 8 hours. Jenna read for 6 hours. Who read more chapters? Show work. Help!
To determine who read more chapters, we need to calculate the number of chapters each person read.
First, let's find out how many chapters Antoine can read per hour:
Antoine's rate: 1 1/4 chapters per hour
To find how many chapters Antoine can read in 8 hours:
8 hours * 1 1/4 chapters per hour = 10 chapters
Therefore, Antoine read 10 chapters.
Now let's calculate how many chapters Jenna can read per hour:
Jenna's rate: 3 chapters in 2 5/6 hours
To find the number of chapters Jenna can read in one hour:
2 5/6 hours = 2 + 5/6 = 17/6 hours
Rate per hour = 3 chapters / (17/6) hours = 3 * (6/17) = 18/17 chapters per hour
To find how many chapters Jenna can read in 6 hours:
6 hours * (18/17 chapters per hour) ≈ 6 * (18/17) ≈ 6.35 chapters
Therefore, Jenna read approximately 6.35 chapters.
Now that we've calculated the number of chapters each person read, we can see that Antoine read more chapters than Jenna. Antoine read 10 chapters, while Jenna read approximately 6.35 chapters.
A = 8 * 1.25 = ?
J = 6 * 2 5/6 = ?