document.write( "Question 1204798: Hi
\n" ); document.write( "There were 2 classes A and B. 3/4 of the students in A and 5/8 in B passed a test. An equal number of students in both classes failed the test. If there was a total of 84 passes,what was the total number of students in both classes.
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Algebra.Com's Answer #841300 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "In class A, 3/4 passed, so the ratio of pass to fail was 3:1.

\n" ); document.write( "In class B, 5/8 passed, so the ratio of pass to fail was 5:3, or 5/3:1.

\n" ); document.write( "Let x be the number in each class who failed.

\n" ); document.write( "Then the number who passed in class A was 3x, and the number who passed in class B was (5/3)x.

\n" ); document.write( "The total number of passes was 84:

\n" ); document.write( "\"3x%2B%285%2F3%29x=84\"
\n" ); document.write( "\"9x%2B5x=252\"
\n" ); document.write( "\"14x=252\"
\n" ); document.write( "\"x=18\"

\n" ); document.write( "The total number in class A was x+3x = 18+54 = 72.
\n" ); document.write( "The total number in class B was x+(5/3)x = 18+30 = 48.

\n" ); document.write( "ANSWER: The total number in the two classes was 72+48 = 120.

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