document.write( "Question 1160146: At the end of the day, a pharmacist counted and found she has 4/3 as many prescriptions for antibiotics as she did for cough medicines. She had 84 prescriptions for the two types of medicine. How many prescriptions did she have for cough medicine?
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Algebra.Com's Answer #783374 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "Since many students dislike working with fractions, here is another way to set up and solve this problem.

\n" ); document.write( "The statement of the problem says there are 4/3 as many prescriptions for antibiotics as there are for cough medicines. A direct translation of that information into algebraic expressions would have x as the number of prescriptions for cough medicines and (4/3)x for the number of prescriptions for antibiotics.

\n" ); document.write( "A different approach would be to translate the \"....4/3 as many...\" into \"...a ratio of 4:3...\". Then we can use 3x for the number of prescriptions for cough medicines and 4x for the number of prescriptions for antibiotics.

\n" ); document.write( "Now the algebra is easier:

\n" ); document.write( "\"3x%2B4x+=+84\"
\n" ); document.write( "\"7x+=+84\"
\n" ); document.write( "\"x+=+84%2F7+=+12\"

\n" ); document.write( "The number of prescriptions for cough medicines is 3x = 3(12) = 36.

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