Answered

Your local grocery store charges $1.44 for 50 match books. The strike plate on each match book contains 5 milligrams (.005 grams) of red phosphorous. 25 grams of red phosphorous is required for a particular methamphetamine synthesis. How many matchbooks will the local clan lab “chemist” have to purchase in order to undertake 4 separate “cooks” and what will be the associated expense? Show your work



Answer :

AnsweringGod

Answer:

The "chemist" would need to purchase 20,000 matchbooks, and the associated expense would be $28,800.

Explanation:

To determine how many matchbooks the "chemist" needs to purchase, we first need to calculate how much red phosphorous is required for 4 separate "cooks".

25 grams of red phosphorous is required for one cook, so for 4 cooks, the total amount needed would be:
25 grams/cook * 4 cooks = 100 grams

Next, we'll calculate how many matchbooks are needed to obtain 100 grams of red phosphorous. Each matchbook contains 0.005 grams of red phosphorous, so the number of matchbooks required is:
100 grams / 0.005 grams/matchbook = 20,000 matchbooks

Finally, to find the associated expense, we'll multiply the number of matchbooks by the price per matchbook:
20,000 matchbooks * $1.44/matchbook = $28,800

Therefore, the "chemist" must purchase 20,000 matchbooks, and the associated expense would be $28,800.

Other Questions