Answer:
There are 25 students in Hannah's class.
Step-by-step explanation:
If 20 students in Hannah's class is 80% of the total amount of students, we can use a variable to figure out the total amount of students.
Let's say x is the total amount of students. We can use this equation to solve the problem:
[tex]20 = .8x[/tex]
This is saying 20 equals 80% (.8 when you move the decimal 2 times) of x, or the total amount of students. Let's solve.
20 = .8x
Divide by .8
25 = x
There are 25 students in Hannah's class.
Percentage of a number is the part of the number in every hundred. The total number of students in Hannah's class is 25.
Given information
Total number of students in Hannah's class voted for the pizza is 20.
The total percent of students in Hannah's class voted for the pizza is 80.
Percentage of a number is the part of the number in every hundred. A percentage of a number is the ratio expressed as fraction of hundred.
Suppose the total number of student in Hannah's class is x.
As total number of students in Hannah's class voted for the pizza is 20 and total percent of students in Hannah's class voted for the pizza is 80.
Therefore the the 80 percent of the total student of the class is equal to the number 20. The 80 percent of a number is 20 thus,
[tex]\begin{aligned}\\\dfrac{80}{100} \times x&=20\\\dfrac{4}{5} \times x&=20\\x&=\dfrac{20\times5}{4} \\x&=25\\\end[/tex]
Thus the total number of students in Hannah's class is 25.
Learn more about the percentage here;
https://brainly.com/question/6972121
