SOLUTION: A cafeteria is trying to scale a small pancake recipe up in order to feed a group of tourists. The recipe feeds 6 people and the cafeteria is trying to feed 75. The recipe calls fo

Algebra ->  Conversion and Units of Measurement -> SOLUTION: A cafeteria is trying to scale a small pancake recipe up in order to feed a group of tourists. The recipe feeds 6 people and the cafeteria is trying to feed 75. The recipe calls fo      Log On


   

Question 907232: A cafeteria is trying to scale a small pancake recipe up in order to feed a group of tourists. The recipe feeds 6 people and the cafeteria is trying to feed 75. The recipe calls for 4 cups of flour and 1 1/2 cups of milk and 1/2 cup of sugar. The cafeteria has a 1.5 kilogram bag of sugar. If a cup of sugar weighs 0.5 pounds and there are 2.2 pounds per kilogram, does the cafeteria have enough to make this recipe?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Increase every ingredient quantity by 75%2F6. The focus seems to be on the sugar. %2875%2F6%29%281%2F2%29=6%261%2F4 cups sugar needed. That is how many cups sugar needed for the expected 75 people.

Now you need the two conversion factors. You know already 0.5 pounds per cup and given 2.2 pounds per kilogram. You do what you need!

NEEDED:
%2875%2F12%29 cups of sugar.


%2875%2F12%29%281%2F2%29%281%2F2.2%29%2AkilogramsOfSugarNeeded
%28%2875%29%2F%2812%2A2%2A2.2%29%29%2AkilogramsOfSugarNeeded
highlight%281.42%29 kilograms sugar needed
This is probably good enough for the cafeteria, depending on how strictly the recipe works with its ingredients and quantities. Conservatively in mind, 1.42 kilograms is not enough if the scaled recipe calls for 1.5 kilograms.