document.write( "Question 1159239: There are 1/4 red grapes + 3/8 green grapes + 2/16 blue grapes + 16 blue grapes
\n" ); document.write( "How many in total\r
\n" ); document.write( "\n" ); document.write( "The answer given was 64\r
\n" ); document.write( "\n" ); document.write( "The common denominator used was 64.
\n" ); document.write( "16 red grapes, 24 green grapes, 8 blue grapes + 16 blue grapes\r
\n" ); document.write( "\n" ); document.write( "With fractions, shouldn't you find the least common denominator. In this case 16.\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #782226 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
Total grapes = x
\n" ); document.write( "(1/4)x+(3/8)x+(1/8)x+16=x
\n" ); document.write( "(3/4)x+16=x
\n" ); document.write( "16=(1/4)x
\n" ); document.write( "x=64\r
\n" ); document.write( "\n" ); document.write( "Having the blue grapes twice is an issue because if you end up with 4 red 6 green and 2 blue using 16, you still have another 16 blue to add in.\r
\n" ); document.write( "\n" ); document.write( "Fractions have to be evaluated as what they mean.
\n" ); document.write( "How many grapes are present is the question.
\n" ); document.write( "Then you're given fractions of that unknown quantity. Then you solve. Otherwise, you are just adding up fractions without knowing what you have. It isn't a problem of 1/4 +2/3 +...
\n" ); document.write( "it is a problem of 1/4 of the total +2/3 of the Total + ... that is a very different problem.
\n" ); document.write( "
\n" );