Each polio consists of 4 doses and rack measles vaccination consists of 2 doses. last year potter gave out a total of 60 vaccinations and that consisted of a total 128 doses. how many polio vaccinations and how many measles vaccinations did dr potter give last year?

4 polio

56 measles

Step-by-step explanation:

Write equations to represent the problem

let x be the number of vaccinations for polio

let y be the number of vaccinations for measles

x + y = 60          Equation for vaccinations

4x + 2y = 128    Equation for doses

Solve the system using substitution. Rearrange x + y = 60 to isolate one variable.

x = 60 - y

Substitute x for 60-y in the other equation

4x + 2y = 128

4(60-y) + 2y = 128     Distribute over brackets

240 - 4y + 2y = 128    Collect like terms. They have the variable "y"

240 - 2y = 128    Subtract 240 from both sides

-2y = 128 - 240

-2y = -112    Divide both sides by -2

y = -112/-2

y = 56    Number of measles vaccinations

Substitute y for 56 in x + y = 60

x + y = 60

x + 56 = 60

x = 60 - 56

x = 4   Number of polio vaccinations

Therefore Dr. Potter gave out 4 polio vaccinations and 56 measles vaccinations.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: