document.write( "Question 1169242: good evening \r
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document.write( "Three business partners, A, B and C, share the profits as follows:
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document.write( " The ratio of A’s share to B’s share is 6:5 and the ratio of B’s share to C’s share is 3:4. Determine;\r
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document.write( "1 A’s share: B’s share: C’s Share.
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document.write( "2 the total profit if A gets $5000 less than C. \n" );
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Algebra.Com's Answer #793924 by greenestamps(13198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Given: \n" ); document.write( "A:B = 6:5 \n" ); document.write( "B:C = 3:4 \n" ); document.write( "(1) Rewrite both ratios as equivalent ratios in which the B numbers are the same: \n" ); document.write( "A:B = 18:15 \n" ); document.write( "B:C = 15:20 \n" ); document.write( "(2) Write a single ratio relating all three numbers: \n" ); document.write( "A:B:C = 18:15:20 \n" ); document.write( "There are a total of 18+15+20 = 53 equal parts, so \n" ); document.write( "(1) A's share is 18/53; B's share is 15/53; C's share is 20/53 \n" ); document.write( "The difference between A's share and B's share is 20/53-18/53 = 2/53 of the total. \n" ); document.write( "(2) If that difference is $5000, then 1/53 of the total is $2500. Then the total profit is 53 times $2500 = $132,500. \n" ); document.write( " |