Final answer:
The clinic gave 45 polio vaccinations and 15 flu vaccinations last month.
Step-by-step explanation:
To find out how many polio vaccinations and flu vaccinations the clinic gave last month, we can set up a system of equations. Let's assume that the number of polio vaccinations is x and the number of flu vaccinations is y.
From the given information, we know that each polio vaccination uses 3 vials and each flu vaccination uses 2 vials. So, the total number of vials used for polio vaccinations is 3x and the total number of vials used for flu vaccinations is 2y.
We are also given that the clinic gave a total of 60 vaccinations, so x + y = 60. And the total number of vials used for all vaccinations is 165, so 3x + 2y = 165. Now, we can solve these equations simultaneously to find the values of x and y.
Using the substitution method, we can solve the first equation for y: y = 60 - x. Substituting this value of y into the second equation:
3x + 2(60 - x) = 165. Simplifying:
3x + 120 - 2x = 165. Combining like terms:
x + 120 = 165. Subtracting 120 from both sides:
x = 45.
So, the clinic gave 45 polio vaccinations last month. Substituting this value back into the first equation, we can find the number of flu vaccinations: 45 + y = 60 => y = 60 - 45 => y = 15.
Therefore, the clinic gave 45 polio vaccinations and 15 flu vaccinations last month.