Question

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. Calculate the total weight, in grams, of the ingredients in each tablet. b. How many tablets could be made with a supply of 5 kg of acetaminophen?

Answer 1

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 = $325 +280+900+300+465=2270$

Since, 1 gram = 1000 mg

Then, $1\ mg=\dfrac{1}{1000}\ g$

Now, $2270\ mg=\dfrac{2270}{1000}\ g=2.27\ g$

∴ The total weight of the ingredients in each tablet = 2.27 g

b. 1 kg = 1000g and 1 g = 1000 mg

Then, 1 kg = $1000\times1000=1000,000\ mg$

⇒ 5 kg = 5000,000 mg

Now, The number of  tablets could be made with a supply of 5 kg of acetaminophen will be :

$\dfrac{5000000}{325}=15384.6153846\approx15384$

Hence, the number of  tablets could be made with a supply of 5 kg of acetaminophen= 15384