Answer:
The average number of tornado's in December is 22 and the average number of tornado's in June is 226
Step-by-step explanation:
The complete question is
The average number of tornado's in June is 16 less than 11 times the average number of tornado's in December. If the difference between the average number of tornado's in June and December is 204,determine the average number of tornado's in December and June.
Let
x ----> the average number of tornado's in June
y ----> the average number of tornado's in December
we know that
[tex]x=11y-16[/tex] ---> equation A
[tex]x-y=204[/tex] ----> equation B
solve the system by substitution
substitute equation A in equation B
[tex]11y-16-y=204[/tex]
solve for y
[tex]10y=204+16[/tex]
[tex]10y=220[/tex]
[tex]y=22[/tex]
Find the value of x
[tex]x=11y-16[/tex] ----> [tex]x=11(22)-16=226[/tex]
therefore
The average number of tornado's in December is 22 and the average number of tornado's in June is 226
