Answer :
Answer: a) 2.27 g and b) 15384
Step-by-step explanation:
Given : An effervescent tablet has the following formula:
acetaminophen 325 mg,
calcium carbonate 280 mg,
citric acid 900 mg,
potassium bicarbonate 300 mg, and
sodium bicarbonate 465 mg.
a) When we add all quantities together , we get
The total weight of the ingredients in each tablet = [tex]325 +280+900+300+465=2270[/tex]
Since, 1 gram = 1000 mg
Then, [tex]1\ mg=\dfrac{1}{1000}\ g[/tex]
Now, [tex]2270\ mg=\dfrac{2270}{1000}\ g=2.27\ g[/tex]
∴ The total weight of the ingredients in each tablet = 2.27 g
b. 1 kg = 1000g and 1 g = 1000 mg
Then, 1 kg = [tex]1000\times1000=1000,000\ mg[/tex]
⇒ 5 kg = 5000,000 mg
Now, The number of tablets could be made with a supply of 5 kg of acetaminophen will be :
[tex]\dfrac{5000000}{325}=15384.6153846\approx15384[/tex]
Hence, the number of tablets could be made with a supply of 5 kg of acetaminophen= 15384