One serving of cereal provides you with 160 mg of sodium. This is 7% of your body's daily needs. How many milligrams of sodium equal 100%?
2,285.71
0.07x = 160
Solve for x.
To determine the number of milligrams of sodium that equal 100% of your body's daily needs, you can use the following steps:
Step 1: Set up a proportion based on the given information.
Let x represent the number of milligrams of sodium that equal 100% of your body's daily needs. The given information states that 160 mg of sodium is 7% of your body's daily needs. Using this information, you can set up the following proportion:
160 mg / x = 7% / 100%
Step 2: Convert the percentage to a decimal.
To convert 7% to a decimal, divide it by 100:
7% / 100% = 0.07
Step 3: Solve the proportion.
Using the proportion from Step 1, solve for x:
160 mg / x = 0.07
To isolate x, multiply both sides of the equation by x:
160 mg = 0.07x
Step 4: Solve for x.
Divide both sides of the equation by 0.07 to solve for x:
160 mg / 0.07 = x
x ≈ 2285.71
Therefore, approximately 2285.71 milligrams of sodium equal 100% of your body's daily needs.
To find out how many milligrams of sodium equal 100% of your body's daily needs, we can set up a proportion.
Let's assume X represents the amount of sodium in milligrams that equals 100% of your daily needs.
We have the following proportion:
7/100 = 160/X
To solve for X, we cross-multiply and then solve for X:
7X = 100 * 160
7X = 16000
X = 16000/7
Performing the calculation, we find that X is approximately 2285.71 milligrams.
Therefore, 100% of your body's daily sodium needs is approximately 2285.71 milligrams.