Question

the basketball game had 600 people in attendance if the ratio of hawk fans to cyclone fans is 2:10 how many more cyclone fans were there

Answer 1

Variables:

x: hawk fans

y: cyclone fans

The basketball game had 600 people in attendance means:

x + y = 600

The ratio of hawk fans to cyclone fans is 2:10 means

`\begin{gathered} (x)/(y)=(2)/(10) \\ 10x=2y \\ (10x)/(2)=y \\ 5x=y \end{gathered}`

Substituting the last equation into the first equation, we get:

x + 5x = 600

6x = 600

x = 600/6

x = 100

And the value of y is:

y = 5*100

y = 500

There were 500 - 100 = 400 more cyclone fans