# SOLUTION: Nine cartons of juice cost the same as 5 fruit cups. Also, one fruit cup costs \$.50 more than one bowl of soup, while one bowl of soup costs \$.50 more than one carton of juice. W

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: Nine cartons of juice cost the same as 5 fruit cups. Also, one fruit cup costs \$.50 more than one bowl of soup, while one bowl of soup costs \$.50 more than one carton of juice. W      Log On

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 Click here to see ALL problems on Miscellaneous Word Problems Question 12052: Nine cartons of juice cost the same as 5 fruit cups. Also, one fruit cup costs \$.50 more than one bowl of soup, while one bowl of soup costs \$.50 more than one carton of juice. What would be the cost of each item: a carton of juice, a fruit cup, and a bowl of soup?Answer by bonster(299)   (Show Source): You can put this solution on YOUR website!9 juice=5 fruit cups 1 fruit cup=.50 more than soup soup=.50 more than 1 juice therefore, the cost of 1 juice is the unknown and we'll say use the variable x as its value 1 juice=x soup=(x+.50) fruit cup=(x+.50)+.50 9juice=5 fruit cups 9(x)=(5)(x+1) 9x=5x+5 <--subtract 5x from both sides (9x)-5x=(5x+5)-5x 4x=5 <--divide both sides by 4 = x=1.25 since 1 juice=x and x=1.25 1 juice=\$1.25 soup=(x+.50)=1.25+.50=\$1.75 fruit cup=(x+.50)+.50=1.25+.50+.50=\$2.25 juice=\$1.25, soup=\$1.75, fruit cup=\$2.25 check: 9juice=5 fruit 9(1.25)=5(2.25) 11.25=11.15