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kutubmia
06.05.2021 •
Mathematics
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Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 4 doses and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 54 vaccinations that consisted of a total of 142 doses.
Create and solve a system of equations to determine how many polio vaccinations and measles vaccinations Dr. Potter gave last year.
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Ответ:
32 polio vaccines :)
Step-by-step explanation:
Let's establish that x= number of polio vaccinations and y=number of measles vaccinations.
Since Dr. P gave a total of 60 VACCINATIONS, we know that x+y=60. (This is equation #1)
We also know that Dr. P gave a total of 184 DOSES of the vaccinations and that the polio vaccine has 4 doses, while the measles vaccine has 2 doses. This means that our second equation is 4x+2y=184. (This is equation #2)
You can get either variable (x or y) by itself from equation #1. I always choose x.
x+y=60
-y. -y
x=60-y
Now we can plug our x value into equation #2.
4x+2y=184
4(60-y)+2y=184
240-4y+2y=184
240-2y=184
-240 -240
-2y=-56
/-2/-2
y=28 measles vaccines
So we know that Dr. P administered 28 measles vaccines. We need to plug our y value back into equation #1 (or, to make it easier, our switched around equation) to find the number of polio vaccines.
x=60-y
x=60-28
x=32 polio vaccines
Ответ:
132
Step-by-step explanation:
gnh=3 knl×2=100 mnl=1