SOLUTION: if 75% of the class was 18 students then how many students do you have?

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Question 802274: if 75% of the class was 18 students then how many students do you have?
Found 2 solutions by solver91311, DrBeeee:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




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Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the total number of students.
Now set up the proportion to represent the statement, 75% of x is 18,
(1) 75/100 = 18/x and solve for x.
First flip both sides of (1) (technically this is taking the inverse or reciprocal of each side) to get
(2) 100/75 = x/18 or
(3) x/18 = 100/75
Now multiply BOTH sides by 18 to get x all by itself on the left side to get
(4) 18*(x/18) = 18*(100/75) or
(5) x = 1800/75 or
(6) x = 24
Check this value
Is (0.75*24 = 18)?
Is (18 = 18)? Yes
Answer: There are 24 students in the class.