Answer: Maria reads more pages per hour
Step-by-step explanation:
Maria - 37 pages per hour
259 = pages read
7 = hours
259/7
37
Juanita - 35 pages per hour
175 = pages read
5 = hours
175/5
35
To add the two expressions, we can write it as:
4.6x-3 + (-5.3x+9)
We can distribute the plus sign (which means just drop the parenthesis in this case):
4.6x-3-5.3x+9
Now, we can simplify by combining like terms:
-0.7x+6
Write the hours as ratio
Carrie : Jerry
2 : 5
Put this ratio in words, we say 'for every two hours Carrie takes to inspect a case, Jerry would need 5 hours'
Carrie has done 30 minutes on a case before taking a break. It means Carrie has 1.5 hours left on the case if she was to continue it.
We need to work out the proportion of the time Jerry would take in comparison to 1.5 hours that Carrie would have taken.
First, we divide 2 by 1.5 ⇒
Then we divide 5 by 4/3 ⇒
hours
Jerry would have taken 3.75 hours to finish the rest of the case