Answer:

1. Prepare the equation:

We are given that the dosage of a medication is 3000 mg per 15 tablets, and we want to find the dosage per 10 tablets. We can set up the equation as follows:

3000mg/15 tablets = X/10 tablets

2. Solve the equation:

To solve the equation, we can cross-multiply to eliminate the fraction. This gives us:

3000mg * 10 tablets = X * 15 tablets

3. Compute for X:

We can then simplify the equation to solve for X:

30000mg = X * 15 tablets

X = 2000mg

4. Double check:

To double check our solution, we can substitute the value of X back into the original equation to see if it is true. If it is true, then our solution is correct.

3000mg/15 tablets = 2000mg/10 tablets

This is a true statement, so our solution of X = 2000mg is correct.