Answer:
Part a) 8 adults -------> 48 children
Part b) 11 adults -------> 66 children
Step-by-step explanation:
Let
x -----> the number of adults
y ----> the number of children
we know that
The ratio of the number of adults to the number of children is equal to
[tex]\frac{x}{y}=\frac{1}{6}[/tex] ----> equation A
Complete the table
Part 1) For x=8 (adults)
Find the value of y (children)
substitute the value of x in the equation A
[tex]\frac{8}{y}=\frac{1}{6}[/tex]
solve for y
[tex]y=6(8)=48\ children[/tex]
Part 2) For y=66 (children)
Find the value of x (adults)
substitute the value of y in the equation A
[tex]\frac{x}{66}=\frac{1}{6}[/tex]
solve for x
[tex]x=\frac{66}{6}=11\ adults[/tex]
