Translate to a proportion and solve.
Two cups of water are used for every 6 cups if flour when making paste. How many cups of flour are needed for 8 cups of water?
Any type of help would be appreciated greatly. Thank you in advance.
2/6 = 8/x
2x = 48
x = 24
To solve this problem, we can set up a proportion using the given information.
We know that the ratio of water to flour is 2 cups of water for every 6 cups of flour. We can write this as:
2 cups of water / 6 cups of flour
We are given that we have 8 cups of water, and we need to find out how many cups of flour are needed. Letting x represent the number of cups of flour needed, we can write:
8 cups of water / x cups of flour
Now we can set up the proportion:
2/6 = 8/x
To solve for x, we can cross-multiply:
2x = 6 * 8
2x = 48
Dividing both sides by 2:
x = 48/2
x = 24
Therefore, 24 cups of flour are needed for 8 cups of water.
To solve this problem, we can set up a proportion based on the given information and then solve for the unknown.
The proportion can be set up as follows:
(2 cups of water) / (6 cups of flour) = (8 cups of water) / (x cups of flour)
To solve this proportion, we can cross-multiply:
2 * x = 6 * 8
Now, we can solve for x by dividing both sides of the equation by 2:
x = (6 * 8) / 2
x = 48 / 2
x = 24
Therefore, 24 cups of flour are needed for 8 cups of water.