10%/1.25 = x/2
Solve for x by multiplying both sides by 2 and then dividing by 1.25.
Solve for x by multiplying both sides by 2 and then dividing by 1.25.
We are given that 1 and 1/4 cups of cereal provides 10% of the recommended daily value of vitamin C.
Let's set up a proportion to solve for the percent of vitamin C in two cups:
(1 and 1/4 cups / 10%) = (2 cups / x%)
To solve for x, we can cross-multiply:
1 and 1/4 cups * x% = 2 cups * 10%
Now, let's convert the mixed number to an improper fraction:
5/4 cups * x% = 20 cups * 10%
Next, convert the improper fraction to a decimal:
(5/4) * (x/100) = (20/1) * (10/100)
Simplifying the equation:
(5/4) * (x/100) = 200/100
Multiply the fractions:
5x / 400 = 200 / 100
Cross-multiplying:
5x * 100 = 200 * 400
Simplifying:
500x = 80,000
Now, solve for x by dividing both sides by 500:
x = 80,000 / 500
Simplifying:
x = 160
Therefore, two cups of cereal provide 160% of the recommended daily value of vitamin C.
(Percent Vitamin C) / (Serving Size) = (Percent Vitamin C) / (Serving Size)
In this case, we know that 1 and 1/4 cups of cereal provides 10% of the recommended daily value of vitamin C. Let's assign values to the variables:
Percent Vitamin C: 10%
Serving Size: 1 and 1/4 cups
Now, we want to find the new percent of the recommended daily value of vitamin C for a serving size of two cups. Let's assign that to a variable as well:
New Percent Vitamin C: x
New Serving Size: 2 cups
We can now write the proportion using these variables:
10% / (1 and 1/4 cups) = x / (2 cups)
To solve for x, we can cross-multiply:
(10%)(2 cups) = (1 and 1/4 cups)(x)
0.10 * 2 = 1.25x
0.20 = 1.25x
Now, we can isolate x by dividing both sides of the equation by 1.25:
0.20 / 1.25 = x
0.16 = x
Therefore, 0.16 (or 16%) of the recommended daily value of vitamin C is in two cups of cereal.