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1 April, 00:01

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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  1. 1 April, 00:23
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    37 polio vaccinations and 23 measles vaccination.

    Step-by-step explanation:

    Let the number of polio vaccination given=x

    Let the number of measles vaccination given=y

    Dr. Potter gave a total of 60 vaccinations

    x+y=60

    Since each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. A total of 184 doses was given out.

    4x+2y=184

    To find the values of x and y, we solve the two equations simultaneously.

    x+y=60 (1)

    4x+2y=184 (2)

    From (1), x=60-y

    Substitute x=60-y into equation 2.

    4x+2y=184

    4 (60-y) + 2y=184

    240-4y+2y=184

    240-184=4y-2y

    56=2y

    Divode both sides by 2

    y=23

    Recall earlier that x=60-y

    x=60-23=37

    Dr Potter gave 37 polio vaccinations and 23 measles vaccination.
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