document.write( "Question 890607: Cindy distributed 150 sweets among five bottles. Bottle A and B together contain 58 sweets. Bottle B and Bottle C together contain 45 sweets,Bottle C and Bottle D together contain 69 sweets and Bottle D and Bottle E together contain 59 sweets.How many sweets are there in each bottle? With exact solution. \n" ); document.write( "
Algebra.Com's Answer #539131 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "Cindy distributed 150 sweets among five bottles. \n" ); document.write( "A + B + C + D + E = 150 \n" ); document.write( ": \n" ); document.write( "Bottle A and B together contain 58 sweets. \n" ); document.write( "A + B = 58 \n" ); document.write( ": \n" ); document.write( "Bottle B and Bottle C together contain 45 sweets \n" ); document.write( "B + C = 45, \n" ); document.write( ": \n" ); document.write( "Bottle C and Bottle D together contain 69 sweets \n" ); document.write( "C + D = 69 \n" ); document.write( ": \n" ); document.write( " and Bottle D and Bottle E together contain 59 sweets. \n" ); document.write( "D + E = 59 \n" ); document.write( ": \n" ); document.write( "Back to the first equation \n" ); document.write( "A + B + C + D + E = 150 \n" ); document.write( "Replace A + B with 58; replace D + E with 59 \n" ); document.write( "58 + C + 59 = 150 \n" ); document.write( "117 + C = 150 \n" ); document.write( "C = 150 - 117 \n" ); document.write( "C = 33 candies \n" ); document.write( "Find D, replace C with 33 \n" ); document.write( "33 + D = 69 \n" ); document.write( "D = 69 - 33 \n" ); document.write( "D = 36 \n" ); document.write( "In the same manner, You should be able to find A, B and E using the given equations \n" ); document.write( "Total up all 5 values, to confirm they add up to 150 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "How many sweets are there in each bottle? With exact solution. \n" ); document.write( " |