SOLUTION: three-fourths of the students in Math 200 got a C on the last test, and one-fifth received an A. Suppose 22 more students received C's than received A's. How many students are in

Question 1114164: three-fourths of the students in Math 200 got a C on the last test, and one-fifth received an A. Suppose 22 more students received C's than received A's. How many students are in the class?

Found 4 solutions by josgarithmetic, stanbon, ikleyn, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x, size of class
(3/4)x : (1/5)x is ratio of C to A.

C : A is 15 : 4.

.

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Suppose 22 more students received C's than received A's.
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-

-------Eight students earned A.

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and one-fifth received an A.
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-----------class of 40 student size
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
three-fourths of the students in Math 200 got a C on the last test, and one-fifth received an A. Suppose 22 more students received C's than received A's. How many students are in the class?
----
Equations:
(2/3)s = (1/5)s +22
----
((10-3)/15))s = 22
(7/15)s = 22
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s = 47.14
Note:: The answer must be a whole number. Please check your post.
Cheers,
Stan H.
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Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Let x = all the population of the class. = 0.75x got a C. = 0.2x got an A. The difference is 0.75x - 0.2x = 0.55x, or 22. The equation is 0.55x = 22. The answer is = 40.

Solved.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

three-fourths of the students in Math 200 got a C on the last test, and one-fifth received an A. Suppose 22 more students received C's than received A's. How many students are in the class?

There's NOTHING wrong with your post. It's perfectly fine, so IGNORE the person who says there is!!
Let number of students in class be S
Then number that received a C = and number that received an A =
We then get:
15S = 4S + 440 ------- Multiplying by LCD, 20
15S � 4S = 440
11S = 440
S, or number of students in class =
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