The ratio of cups of flour to cups of cooking oil in a cake mix is 3:8 The ratio of cups of cooking oil to cups of water is 6 to 5. There is 3/4 cups of flour required. How many cups of water are required.
f:c = 3:8
c:w = 6:5
LCM(8,6) = 24, so
f:c:w = 9:24:20
3/4 / 9 = 1/12, so dividing by 12, we have
9/12 : 24/12 : 20/12 = 3/4 : 2 : 5/3
So, 2c oil and 5/3 c water
Gggyy
Well, it seems like this cake mix is more complicated than a soap opera plot! Let's break it down.
We know that the ratio of flour to oil is 3:8. Since we need 3/4 cups of flour, we can set up a proportion:
3/8 = 3/4 cups of flour / x cups of oil
Cross-multiplying, we find that:
3x = 24
x = 8
So, we need 8 cups of oil.
Now, let's move on to the ratio of oil to water, which is 6:5. We already have 8 cups of oil, so we can set up another proportion:
6/5 = 8 cups of oil / y cups of water
Cross-multiplying again, we have:
6y = 40
y = 40/6
y ≈ 6.67
Therefore, approximately 6.67 cups of water are required. But since you can't measure a fraction of a cup precisely, it's best to round it up to 7 cups and ensure a moist and delicious cake!
So, to summarize, you'd need around 7 cups of water in this interesting cake mix adventure. Happy baking!
To find the number of cups of water required, we need to determine the ratio between cups of flour and cups of water.
Given:
Ratio of cups of flour to cups of cooking oil = 3:8
Ratio of cups of cooking oil to cups of water = 6:5
To find the overall ratio between cups of flour and cups of water, we can combine the two ratios. This can be done by multiplying the two ratios together.
Ratio of cups of flour to cups of water = (3:8) * (6:5)
To multiply the ratios, we multiply the numerators (top numbers) and denominators (bottom numbers) separately:
Cups of flour * Cups of cooking oil = 3 * 6 = 18
Cups of cooking oil * Cups of water = 8 * 5 = 40
Therefore, the overall ratio of cups of flour to cups of water is 18:40.
Given that 3/4 cups of flour are required, we can set up a proportion to find the number of cups of water required:
18 : 40 = 3/4 : x
Now we cross-multiply to solve for x:
18x = (3/4) * 40
18x = 120/4
18x = 30
x = 30/18
x = 5/3
So, 5/3 cups of water are required.
To find the number of cups of water required, we can follow these steps:
Step 1: Determine the ratio of cups of flour to cups of oil:
We are given that the ratio of cups of flour to cups of cooking oil is 3:8. This means that for every 3 cups of flour, we have 8 cups of oil.
Step 2: Determine the ratio of cups of oil to cups of water:
We are given that the ratio of cups of cooking oil to cups of water is 6 to 5. This means that for every 6 cups of oil, we have 5 cups of water.
Step 3: Calculate the cups of oil:
Given that there are 3/4 cups of flour required, we need to find the corresponding amount of oil. Since the ratio of flour to oil is 3:8, we can set up a proportion:
(3/4) cups of flour / 3 cups of flour = x cups of oil / 8 cups of oil
Simplifying the proportion, we have:
(3/4) / 3 = x / 8
1/4 = x / 8
Multiply both sides of the equation by 8:
8(1/4) = x
2 = x
So, 2 cups of cooking oil are required.
Step 4: Calculate the cups of water:
Using the ratio of cups of oil to cups of water, which is 6 to 5, we can set up another proportion:
2 cups of oil / 6 cups of oil = y cups of water / 5 cups of water
Simplifying the proportion, we have:
2 / 6 = y / 5
Multiply both sides of the equation by 5:
5(2/6) = y
5/3 = y
So, 5/3 cups of water are required.