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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

Sagot :

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

[tex]\begin{gathered} \frac{x}{y}=\frac{2}{10} \\ 10x=2y \\ \frac{10x}{2}=y \\ 5x=y \end{gathered}[/tex]

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