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To prevent bacterial infection, a doctor orders 4 tablets/day of amoxicillin for 10 days. If each tablet contains 250mg of amoxicillin, how many ounces of medicine are given in 10 days. (1oz =28g)

To prevent bacterial infection, a doctor orders 4 tablets/day of amoxicillin for 10 days-example-1
User Bertrand Gazanion
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The question requires us to calculate the amount of amoxicillin, in ounces, that would be taken in 10 days, given that the medical recommendation was to take 4 tablets/day for 10 days and that each tablet contains 250 mg of amoxicillin.

To solve this problem, we need to go through the following steps:

1) Calculate how many tablets of medicine would be taken in 10 days;

2) Calculate the mass of the amount of tablets from step in, in mg;

3) Convert the mass obtained in step 2 to ounces.

Next, we'll go through these steps to solve the problem:

1) If a person needs to take 4 tablets of medicine per day, we can calculate how many tablets would be taken in 10 days:

1 day --------------- 4 tablets of amoxicillin

10 days ----------- x

Solving for x, we have that 40 tablets of amoxicillin would be taken in 10 days of treatment.

2) Now, we need to calculate the mass of amoxicillin contained in 40 tablets, knowing that each tablet contains 250 mg of medicine:

1 tablet --------------- 250 mg of amoxicillin

40 tablets ----------- y

Solving for y, we have that 40 tablets corresponds to 1.00 x 10^4 mg of amoxicillin (or 1.00 x 10^1 g of it, knowing htat 1 g = 1000 mg).

3) Next, we need to convert the mass obtained in step 2 (10 000 mg or 10 g) to ounces, knowing that 1 oz = 28g:

28 g --------------- 1 oz

10 g ---------------- z

Solving for z, we'll have:


z=((10g)*(1oz))/((28g))=0.36oz

Thus, 10 g corresponds to 0.36 oz.

Therefore, if a person takes 4 tablets of amoxicillin per day, for 10 days, and each tablet contains 250 mg of amoxicillin, it means that person will intake 0.36 ounces of amoxicillin during the treatment.

User Ohm
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