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

Answer:

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

Step-by-step 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.