Question

Cv0627

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.

Answer 1

dr. potter provides 54 vaccinations TOTAL (including both measles and polio).

p+m=54

since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.

4p+2m=142

p+m=54

4p+2m=142

^^system of equation

p+m=54

4p+2m=142

p=54-m

4p+2m=142

(substitute 54-m to the equation)

4(54-m)+2m=142

m=37

(collect like terms, then substitute the value of m into the first equation)

p=54-37

p=17

(m, p)=(37, 17)

Explanation:

i hope this helps, sorry for the wait