document.write( "Question 990125: The ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow ones,the ratio is 4:5. How many yellow jelly brans were orginally in the dish?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #610213 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow ones,the ratio is 4:5. How many yellow jelly brans were orginally in the dish?
\n" ); document.write( "

Let multiplicative factor be x
\n" );
document.write( "Then he had: 3x red, and 4x yellow, originally
\n" );
document.write( "We then get: 
\n" );
document.write( "4(4x - 6) = 5(3x - 3) ------- Cross-multiplying
\n" );
document.write( " 16x - 24 = 15x - 15
\n" );
document.write( "16x - 15x = - 15 + 24
\n" );
document.write( "x, or multiplicative factor = 9\r
\n" );
document.write( "\n" );
document.write( "Original number of yellow: 4(9), or  \n" );
document.write( "

\n" );