Answer:
32 polio vaccinations and 28 measles vaccinations.
Step-by-step explanation:
Let <em>p</em> represent the number of polio vaccines and let <em>m</em> 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 <em>p</em> polio vaccines is <em>4p</em>.
And since each measles vaccine has 2 doses, the amount of doses for <em>m</em> measles vaccines is <em>2m.</em>
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.