document.write( "Question 22191: Albert owns 52% of the company, Bert owns 24% of the company, Carl owns 12% of the company, and Dan owns 12% of the company. Dan wants to sell his 12% to the other three owners for $59,000.00. How much should each pay to Dan? What percentage would they now own if the ratio remains the same? \n" ); document.write( "

Algebra.Com's Answer #12117 by philberg99(10) $\"\"$ $\"About$

You can put this solution on YOUR website!
The ratio of Albert, Bert, and Carl is 52:24:12 or if we divided everything by 4 to reduce it, the ratio is 13:6:3. So if Dan is selling his share for $59,000.00 it would need to be divided up into 22 parts, with Albert getting 13 parts, Bert getting 3 parts, and Carl getting 3 parts. Each part would be 59,000/19 = $2681.82 So If Albert is getting 13 parts, he would pay $2681.82 * 13 = $34863.64.
\n" ); document.write( "Bert is getting 6 parts, so he would pay $2681.82 * 6 = $16090.91. Carl is getting 3 parts, so he would pay $8045.45.\r
\n" ); document.write( "\n" ); document.write( "As for the new percentages, Albert acquired 13/22 of the 12%, so he owns 52+12*13/22 = 59.09%. Bert acquired 6/22 of the 12% so he now owns 24+12*6/22 = 27.27%. Finally, Carl acquired 3/22 of the 12% so he now owns 12+12*3/22 = 13.64%.\r
\n" ); document.write( "\n" ); document.write( "Hope you don't get lost in all the numbers. \n" ); document.write( "

\n" );