Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 4 doses, and each
measles vaccination consists of 2 doses. Last year, Dr.
Potter gave a total of 60 vaccinations that consisted of a
total of 184 doses.
How many polio vaccinations and how many measles
vaccinations did Dr. Potter give last year?
Dr. Potter gave
polio vaccinations and
measles vaccinations.

32 polio vaccinations and 28 measles vaccinations.

Step-by-step explanation:

Let p represent the number of polio vaccines and let m represent the amount of measles vaccines.

We know that each polio vaccine consists of 4 doses, and each measles vaccine consists of 2 doses.

Dr. Potter gave a total of 60 vaccinations last year. Therefore, the sum of the number of polio vaccines and measles vaccines must total 60. Therefore:

Together, they consisted of 184 doses.

Since each polio vaccine has 4 doses, the amount of doses for p polio vaccines is 4p.

And since each measles vaccine has 2 doses, the amount of doses for m measles vaccines is 2m.

So:

We now have a system of equations:

We can solve using elimination. Let’s multiply the first equation by -2. So:

Now, we can add this to the second equation. Hence:

Simplify:

Divide both sides by 2:

Therefore, Dr. Potter gave out 32 polio vaccinations.

By the first equation:

Substitute 32 for p to get:

So, 28 measles vaccinations were given out.

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step-by-step explanation: