In order to make this easier, let us convert the fraction into a mixed number. 2 2/3 would become 8/3. Now, let us divide 8 pints by 8/3 cups and we get 24/8 or 3 cups. Therefore, the amount of water that Cary has to use when she makes barbecue sauce with 1 pint of tomato is 3 cups.
The number of cups of water varies directly as the number of pints of tomato sauce. It means that as the number of cups of water used increases, so does the number of the pints of tomato sauce and vice versa.
Given that the barbecue sauce recipe calls for 2 2/3 cups of water for every 8 pints of tomato sauce, then 1 pint of tomato sauce would require an equivalent number T of water cups where
(8 x 6) 8h =144 48+ 8h=144 144-48= 96 8h=96 96 divided by 8= 12 So he should have to work 12 hours at the restaurant. Hope this helps and sorry if it’s wrong!