SOLUTION: three fourths of the students received a grade of C and one fifth received a grade of A. If twenty-two more students received C's than A's, how many students are in class.

Question 259785: three fourths of the students received a grade of C and one fifth received a grade of A. If twenty-two more students received C's than A's, how many students are in class.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
.75 c
.20 a
.05 others
.
Let a=number of A's
a/(a+22)=.2/.75 Proportion
a=.2(a+22)/.75
=(.2a+4.4)/.75
a=2a/7.5 + 44//7.5
7.5a=2a+44
5.5a=44
a=8
c=30
Let x=others
x/8=.05/.2
x=.4/.2=2
40 in class
.
Ed
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