The amount of vitamin c in the breakfast cereal varies directly with the serving size. If 1 and 1/4 cups of cereal provides 10% of the recommended daily value of vitamin c, what percent of the recommended daily value of vitamin c is in two cups of cereal?

Question

Create an appealing visual representation of a breakfast table that gives an illustration of the direct relationship between serving size of cereal and vitamin c intake. There are two bowls placed on the table. In the smaller one, include 1 1/4 cups of cereal and visually assign it a 10% vitamin C value by displaying a color gradient or a visual level bar. Display the larger bowl with 2 cups of cereal, but keep the percentage of Vitamin C shown ambiguous. Remember, these bowls must be filled with cereal and the contents should not contain any alphabetic characters or numerals.

The amount of vitamin c in the breakfast cereal varies directly with the serving size. If 1 and 1/4 cups of cereal provides 10% of the recommended daily value of vitamin c, what percent of the recommended daily value of vitamin c is in two cups of cereal?

Answer 1

10%/1.25 = x/2

Solve for x by multiplying both sides by 2 and then dividing by 1.25.

Answer 2

To find the percent of the recommended daily value of vitamin C in two cups of cereal, we need to use the concept of direct variation.

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.

Answer 3

To find the percent of the recommended daily value of vitamin C in two cups of cereal, we can set up a proportion. Since the amount of vitamin C varies directly with the serving size, we can use the following equation:

(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.