SOLUTION: Cooking polenta requires 2 cups of water for every ½ cup of polenta. How many cups of
water will be required for ¾ cups of polenta?
Algebra ->
Percentage-and-ratio-word-problems
-> SOLUTION: Cooking polenta requires 2 cups of water for every ½ cup of polenta. How many cups of
water will be required for ¾ cups of polenta?
Log On
Question 243097: Cooking polenta requires 2 cups of water for every ½ cup of polenta. How many cups of
water will be required for ¾ cups of polenta? Found 2 solutions by rapaljer, oberobic:Answer by rapaljer(4671) (Show Source):
You can put this solution on YOUR website! The easiest way to do this is to realize that 3/4 cup is "half again as much as 1/2 cup." So, half again as much as 2 cups is 2 cups plus 1 cup = 3 cups of plenta.
You can put this solution on YOUR website! You can use the method of 'like ratios'. We are told that the ratio of water to polenta is 2 to 1/2, which can be shown as: 2/.5
We are told that we're interested in how much for 3/4 c. of polenta. So that ratio will be x/.75.
The ratios have to be equal, so we need to solve:
2/.5 = x/.75
Cross multiplying, we arrive at
2(.75) = x(.5)
1.5 = .5x
Dividing by .5
1.5/.5 = x
x = 1.5/.5
x = 3
(