Question

question the main ingredient in a certain prescription drug capsule costs $500.00 per kilogram. if each capsule contains 600 milligrams of the ingredient, what is the cost of the ingredient in a capsule? (1 kilogram

Answer 1

$300.00

Explanation:

METHOD 1:

• As there is 1000 milligrams in a kilogram we have to divide 1000 but 600 (this is because the question is asking us to find out how much 1 capsule would cost and there is 600 milligrams in 1 capsule)
• The answer we get from that will be
  `1.666...` (recurring).
• To find the cost we have to get 1.666... and divide it by 500, this will help us find how much it would cost for one capsule
• 500 ÷ 1.666... (recurring) = 300

METHOD 2:

• Another way of doing it is by finding 100 milligrams then multiplying it by 6.
• To find the cost of 100 milligrams we simply have to divide 500 by 10. This because 1000 ÷ 100 = 10
• 500 ÷ 10 = 50
• Then we have to multiply the answer by 6
• 50 × 6 = 300
• And there we have it!!

Hope this helps, have a great day!!