Question

Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 606060 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

I think there is a little error in your question. I guess You mean 60 vaccinations instead of 606060. I solved using 60 vaccinations.

Answer:Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.

Explanation:

STEP 1

Let number of polio vaccines be x

and number of measles vaccine be y

such that

total does of 60 vaccinations be expressed as

x+y = 60---- equation 1

And number of doses for both vaccine to total 184 doses taken be expressed as

4x + 2y= 184 ---- equation 2

Step 2--- solving

x+y = 60---- equation 1

4x + 2y= 184 ---- equation 2

Making x the subject of formula in equation 1 and substituting it in equation 2

x= 60-y

4(60-y) +2y- 184

240-4y+2y=184

240-184= 4y-3y

56= 2y

y= 58/2 = 28

To get x , put the value of y=28 in equation 1 and solve

x+y=60

x=60-28

x=32

Therefore Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.