yvonne12 wrote:the main ingredient in a certain prescription drug capsules cost $500 per kilogram. If each capsule contains 600 millograms of the ingredient. what is the cost of the main ingredient (1 kilogram=10^6)
We can use a proportion to solve this problem. Letting x be the cost, in dollars, per 600-mg capsule, we have
$500/1 kg = $x/600 mg
Before we can cross multiply, we need the denominators to have the same units. Since we are given 1 kg = 10^6 mg, we have:
$500/10^6 mg = $x/600 mg
500/10^6 = x/600
(10^6)(x) = 500(600)
1,000,000(x) = 300,000
10x = 3
x = 0.3
Thus, the cost is $0.30 per capsule.
Answer: $0.30 or 30¢
