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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?

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

Answer:

There were 32 polio vaccinations and 28 measles vaccination.

Step-by-step 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:

[tex]x+y=60[/tex] or [tex]x=60-y[/tex]    .....(1)

And

[tex]4x+2y=184[/tex]   .....(2)

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

[tex]4(60-y)+2y=184[/tex]

=> [tex]240-4y+2y=184[/tex]

=> [tex]240-2y=184[/tex]

=> [tex]-2y=184-240[/tex]

=> [tex]-2y=-56[/tex]

Cancelling out negative sign

[tex]2y=56[/tex]

y = 28

And [tex]x=60-28=32[/tex]

x = 32

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

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