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 a total of 184 doses.
How many polio vaccinations and how many measles vaccinations did Dr. Potter give last year?

Answer 1

28 polio vaccinations and 32 measles vacinnacions.

Explanation:

x= polio vaccinations

y= measles vaccinations

here we have an ecuation system:

x+y=60 (vaccinations)

2x+4y=184 (doses)

In order to solve it I will solve the x in the first ecuation:

x=60-y

And replace it on the other ecuation:

2(60-y)+4y=184 -----> 120-2y+4y=184------>2y=64------->y=32

Now I replace this result in x=60-y, so x=28.