Question

Each Polio vaccination consists of 4 dieses , 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 many measles vaccinations did Dr.Potter give last year?

Answer 1

Last year Dr. Potter give 32 Polio vaccination and 28 measles vaccination.

Explanation:

Given:

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.

Now, to find the number of polio vaccinations and many measles vaccination.

Let the number of Polio vaccination be
`x.`

And let the number of measles vaccination be
`y.`

So, the total number of vaccinations:

`x+y=60`

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

As, given each Polio vaccination consists of 4 doses , and each measles vaccination consists of 2 doses.

Thus, the total number of doses:

`4x+2y=184`

Substituting the value of
`y` from equation (1):

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

`4x+120-2x=184`

`2x+120=184`

Subtracting both sides by 120 we get:

`2x=64`

Dividing both sides by 2 we get:

`x=32.`

The number of Polio vaccination = 32.

Now, putting the value of
`x` in equation (1):

`y=60-x`

`y=60-32`

`y=28.`

The number of measles vaccination = 28.

Therefore, last year Dr. Potter give 32 Polio vaccination and 28 measles vaccination.