The recommended daily intake of potassium (K) is 4.725 grams. The avergae raisin contains 3.677 mg K. Assuming that each raisin contains 3.677 milligrams, how many raisins per day would a person need to eat to meet the recommended daily amount of K from consuming raisins alone?
3.677mg =\(0,003677g \ \ \ \ \ \ \ \ \Rightarrow \ \ \ \ \ \ \ 1 \ raisin\\
4,725g \ \ \ \ \ \ \ \ \ \ \ \ \Rightarrow \ \ \ \ \ \ \ \ x\\\\
x=\frac{4,725g*1}{ 0,003677g}\approx 1285 \ raisins\)
Answer: A person should consume 1285 raisins per day.
Explanation:
It is given that the total intake of potassium for a person is 4.725 grams and a contains an average of 3.677 mg of potassium in it.
We need to find the total number of raisins that a person must consume in order to have the daily intake of potassium.
For, this we require a conversion factor:
\(1g=1000mg\\\\3.677mg=\frac{3.677}{1000}=0.003677g\)
To calculate the number of raisins, we divide the total intake by the amount of potassium one raisin contain, we get:
\(n\times 0.003677=4.725\\\ =\frac{4.725}{0.003677}=1285\)
Hence, a person should consume 1285 raisins per day.