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.
Please help!!!!
These are the correct answers for cannexus %100 right
1. A
2. C
3. C
4. D
5. A
Only use these to check ur work, not cheat.
To find out who read more chapters, we need to calculate how many chapters Antoine and Jenna each read.
Antoine reads one and a quarter chapter per hour. So in 8 hours, he would read:
8 hours * 1.25 chapters/hour = 10 chapters
Jenna reads three chapters in 2 5/6 hours. To find out how many chapters she reads in 6 hours, we can set up a proportion:
3 chapters / (2 5/6 hours) = x chapters / 6 hours
To solve for x, we can cross-multiply and then divide:
(3 * 6 hours) = (2 5/6 hours) * x chapters
18 hours = 17/6 hours * x chapters
To simplify the fraction, we can multiply both sides by the reciprocal of 17/6:
(18 hours) * (6/17) = x chapters
108/17 = x chapters
Now, let's calculate the value of x:
x = 108/17 = 6 6/17 chapters
So in 6 hours, Jenna would read approximately 6 6/17 chapters.
Now we can compare the number of chapters read:
Antoine read 10 chapters and Jenna read approximately 6 6/17 chapters.
Since 10 is greater than approximately 6 6/17, Antoine read more chapters.
To determine who read more chapters, we need to compare the number of chapters each person can read in their respective time frames.
Let's start by calculating the number of chapters Antoine can read in one hour. Since he estimates he can read one and a quarter chapter in one hour, we can write this as 1.25 chapters.
Next, let's calculate the number of chapters Jenna can read in 2 5/6 hours. To do this, we need to convert the mixed fraction to an improper fraction.
2 5/6 = (2 * 6 + 5) / 6 = 17/6 chapters.
Now, we can calculate the number of chapters Jenna can read in 2 5/6 hours: 17/6 chapters.
To find out who read more chapters, we need to multiply the number of chapters each person can read per hour by the number of hours they read.
Antoine read for 8 hours, so the number of chapters he read is:
8 hours * 1.25 chapters/hour = 10 chapters.
Jenna read for 6 hours, so the number of chapters she read is:
6 hours * 17/6 chapters/hour = 17 chapters.
From the calculations, we can see that Jenna read more chapters than Antoine. Jenna read 17 chapters, while Antoine read 10 chapters.
Antoine:
Chapters = 8h * 1.25Ch/h = 10.
Jenna:
Chapters = 6h * 3Ch/2.83333h = 6.35.