Question

Dr. Potter provides vaccinations against polio and measles.Each polio vaccination consists of 444 doses, and each measles vaccination consists of 222 doses. Last year, Dr. Potter gave a total of 606060 vaccinations that consisted of a total of 184184184 doses.How many polio vaccinations and how many measles vaccinations did Dr. Potter give last year?

Answer 1

The correct answer for the question that is being presented above is this one: b) (32,28).

Answer 2

There were 32 polio vaccinations and 28 measles vaccination.

Explanation:

Let number of polio vaccination be = x

Let number of measles vaccination be = y

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.

So, the two equations that form are:

`x+y=60` or
`x=60-y` .....(1)

And

`4x+2y=184` .....(2)

Substituting value of x from (1) in (2)

`4(60-y)+2y=184`

=>
`240-4y+2y=184`

=>
`240-2y=184`

=>
`-2y=184-240`

=>
`-2y=-56`

Cancelling out negative sign

`2y=56`

y = 28

And
`x=60-28=32`

x = 32

Therefore, there were 32 polio vaccinations and 28 measles vaccination.