SOLUTION: My daughter is in 6th grade and we canot figure this out!! The ratio of students who wear glasses to the total class is 2:5. If there are 25 students who don't wear glasses, how

Algebra.Com
Question 949402: My daughter is in 6th grade and we canot figure this out!!
The ratio of students who wear glasses to the total class is 2:5. If there are 25 students who don't wear glasses, how many students are n the class?

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The ratio of students who wear glasses to the total class is 2:5. If there are 25 students who don't wear glasses, how many students are n the class?
--------------
n = # of students total
w = # without glasses = 25
n-25 = # with glasses
==========================
n-25:n = 2:5
or,
(n-25)/n = 2/5 (same thing)
5(n-25) = 2n
5n - 125 = 2n
3n = 125
n = 125/3
--------
There's no integer solution.
If n = 41:
16/41 <> 2:5 (2:5 = 16:40)
-----
If n = 42:
17:42 = 0.40476, not 2:5 which is 0.4

RELATED QUESTIONS

The ratio of students who wear glasses to those who do not wear glasses is 2:5. There are (answered by josgarithmetic)
the ratio of the number of pupils who wear glasses to the total number of pupils in the... (answered by greenestamps,math_tutor2020,ikleyn,josgarithmetic)
In a class, 2/5 of the boys wear glasses and 1/3 of the girls wear glasses. If the ratio... (answered by stanbon)
If 1 out of 4 students wears glasses, what is the ratio of students who do not wear... (answered by ikleyn)
in a class 2\5's of the students wear glasses. if ten students wear glasses,how many... (answered by rfer)
There are 50 students in class. 40 students wear glasses and 30 have dark hair. What is... (answered by ikleyn)
In a certain class, 40% of the students are girls, and 20% of the girls wear glasses.... (answered by Shin123)
Out of a total of 400 students in a school, 245 of them wear glasses. What percent of the (answered by ikleyn,Edwin McCravy,MathTherapy)
In a class of 20 students, 40% are boys. Twenty-five percent of the boys and 50% of the... (answered by jim_thompson5910)