Mathematics
Tate51
2016-09-26 14:35:39
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk? a. 1/12 b. 3/4 c. 11/12 d. 1 1/3
ANSWERS
IngeRorabaugh
2016-09-26 16:37:27

d) 1 1/3 (1/3) x reciprocal of 1/4 so (4/1) = 4/3 which simplifies to 1 1/3 

susa
2016-09-26 16:38:42

[latex]f egin{array}{ccllll} milk&water\ extendash extendash extendash extendash extendash extendash& extendash extendash extendash extendash extendash extendash\ frac{1}{3}&frac{1}{4}\ 1&x end{array}implies cfrac{frac{1}{3}}{1}=cfrac{frac{1}{4}}{x}implies cfrac{frac{1}{3}}{frac{1}{1}}=cfrac{frac{1}{4}}{frac{x}{1}} \\\ cfrac{1}{3}cdot cfrac{1}{1}=cfrac{1}{4}cdot cfrac{1}{x}implies cfrac{1}{3}=cfrac{1}{4x}implies 4x=3implies x=cfrac{3}{4}[/latex]

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