document.write( "Question 1033494: Hi
\n" ); document.write( "Charlotte and Lydia shared cashew nuts in the ratio of 6:7.when Charlotte gave 36 nuts to Lydia the ratio of nuts Charlotte has to lydia is 9:17.how many nuts did Lydia have at first.
\n" ); document.write( "thank you \n" ); document.write( "

Algebra.Com's Answer #648116 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Hi
\n" ); document.write( "Charlotte and Lydia shared cashew nuts in the ratio of 6:7.when Charlotte gave 36 nuts to Lydia the ratio of nuts Charlotte has to lydia is 9:17.how many nuts did Lydia have at first.
\n" ); document.write( "thank you
\n" ); document.write( "

Let the multiplicative factor be x
\n" );
document.write( "Then initially Charlotte had 6x, and Lydia, 7x nuts
\n" );
document.write( "After Charlotte gave 36 nuts to Lydia, Charlotte had 6x – 36 left, and Lydia had: 7x + 36
\n" );
document.write( "We then get: 
\n" );
document.write( "17(6x – 36) = 9(7x + 36) -------- Cross-multiplying
\n" );
document.write( "102x – 612 = 63x + 324
\n" );
document.write( "102x – 63x = 324 + 612
\n" );
document.write( "39x = 936
\n" );
document.write( "x, or multiplicative factor = 
\n" );
document.write( "Number of nuts Lydia had, initially: 7(24), or  \n" );
document.write( "

\n" );