Question

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 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.
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Answer 1

Explanation:

x = number of polio vaccinations.

y = number of measles vaccinations.

in total 60 vaccinations means

x + y = 60

and remembering the doses needed per vaccination we get

4x + 2y = 184

out of the first equation we get

x = 60 - y

and we use that in the second equation

4×(60 - y) + 2y = 184

240 - 4y + 2y = 184

-2y = -56

y = 28

x = 60 - y = 60 - 28 = 32

Dr. Potter gave 32 polio and 28 measles vaccinations.