document.write( "Question 1148874: Total enrollment is 805 students. the ratio of girls to boy is 3 to 4. How many boys are enrolled \n" ); document.write( "

Algebra.Com's Answer #770225 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Given that the ratio of girls to boys is 3 to 4, one standard way to start on solving the problem is to let the number of girls be 3x and the number of boys be 4x.

\n" ); document.write( "Then, since the total number of students is 805,

\n" ); document.write( " $\"3x%2B4x+=+805\"$
\n" ); document.write( " $\"7x+=+805\"$
\n" ); document.write( " $\"x+=+115\"$

\n" ); document.write( "The number of boys is 4x = 460.

\n" ); document.write( "An even shorter way to use the given ratio of 3 girls to 4 boys is to translate that into saying that 3/7 of the students are girls and 4/7 of them are boys. Then the answer is found with a single simple calculation:

\n" ); document.write( "number of boys = (4/7)*805 = 4*(805/7) = 4*115 = 460.

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