The number of polio vaccinations is 32 and measles vaccination is 28
Let p represent the number of polio vaccines and let m represent the number 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:
p+m=60
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:
4p+2m=184
We now have a system of equations:
p+m=60
4p+2m=184
We can solve using elimination. Let’s multiply the first equation by -2. So:
-2p-2m=-120
Now, we can add this to the second equation. Hence:
(-2p+4p)+(-2m+2m)=(-120+184)
2p=64
p=32
Therefore, Dr. Potter gave out 32 polio vaccinations
p+m=60
By the first equation:
p+m=60
Substitute 32 for p to get
32+m=60
m=60-32
m=28
So, 28 measles vaccinations were given out.
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