SOLUTION: The recipe for yummy crunches requires a total of 8 cups of sugar and flour together. If the recipe had called for 1/4 more sugar, the amount of sugar would be half the amount of
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Question 1123695: The recipe for yummy crunches requires a total of 8 cups of sugar and flour together. If the recipe had called for 1/4 more sugar, the amount of sugar would be half the amount of flour. How many cups of sugar does the question called for? Found 2 solutions by greenestamps, josgarithmetic:Answer by greenestamps(13200) (Show Source):
The additional 1/4 cup of sugar would make a total of 8 1/4 cups, or 33/4 cups.
If then the amount of sugar would have been half the amount of flour, then those 33/4 cups would be split in the ratio 2:1; that is, 2/3 of the 33/4 cups would be flour and 1/3 of the 33/4 cups would be sugar.
1/3 of 33/4 cups is 11/4 cups; and that is 1/4 cup more than the recipe calls for.
So the amount of sugar in the recipe is 10/4 = 5/2 = 2 and 1/2 cups.
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Note I read the "1/4 more sugar" as "1/4 cup more sugar"; I suspect that is what was intended....
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If the recipe had called for 1/4 more sugar, the amount of sugar would be half the amount of flour. How many cups of sugar does the question called for?
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(If x is the cups of sugar, then more sugar must mean additional cups of sugar.)(ADDITIONAL x/4 CUPS OF SUGAR )
more sugar -
How? Cups of sugar?
x, normal cups of sugar
8-x, normal cups of flour
x+(x/4), changed cups of sugar
8-x, the SAME unchanged cups of flour
- ------changing the sugar only. Flour will stay the same as before. x is the ORIGINAL pounds of sugar.
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