document.write( "Question 1064870: The ratios of the number of sweets Abigail has to the number of sweets Ben has is 4 : 5 at first. After Abigail bought another 16 sweets and Ben ate 2 sweets, Abigail has thrice as many sweets as Ben. How many sweets did Ben have in the end? \n" ); document.write( "
Algebra.Com's Answer #679967 by jorel1380(3719)![]() ![]() You can put this solution on YOUR website! Let n be the common denominator of the sweets each have. Then \n" ); document.write( "4n+16:5n-2::3:1 So: \n" ); document.write( "4n+16=3(5n-2) \n" ); document.write( "4n+16=15n-6 \n" ); document.write( "11n=22 \n" ); document.write( "n=2 \n" ); document.write( "At the beginning, Abigail has 4n, or 8 sweets; and Ben has 5n, or 10. Ben then eats 2 sweets, leaving him with 8. ☺☺☺☺ \n" ); document.write( " |