Answer:
No, that does not sound right.
Ms. Stewart needs to print a total of 4,536 pages in this time!
Explanation:
This situation is an example of ratios and proportions.
⭐What is a ratio?
- a ratio is a fraction that compares 2 units
⭐What is a proportion?
- a proportion is when you set two ratios equal to each other to solve for a missing unit
Let's set up the 1st ratio:
"Every school day, Ms. Stwewart prints out 2 pages of worksheets for each [student]"
1 student/2 pages
Let's set up the 2nd ratio:
"Ms. Stewart is a teacher with 28 students"
28 students/x pages
Now, we want to solve how many pages Ms. Stewart prints in a day for 28 students.
Thus, we need to set up a proportion with these 2 ratios.
Make sure the same units are on the numerator and denominator.
Multiply LHS and RHS by
to solve for x.
∴ Ms. Stewart needs to print 56 worksheets for 1 day.
However, this isn't what the problem is asking us. We want to know how many worksheets Ms. Stewart needs to print for the coming school days.
To find out, we need to make another proportion. We only have 1 ratio so far: 56 worksheets/1 day, so we need to make another one for the coming school days.
Let's set up the 2nd ratio:
"There are 81 school days left in this school year."
y worksheets/ 81 days
Thus, we need to set up a proportion with these 2 ratios.
Make sure the same units are on the numerator and denominator.
Multiply both sides by 81 to isolate y.
∴ Ms. Stewart needs to print 4,536 worksheets for the next 81 days!