# The Tigers have a 5 wins to 4 loss rate. If the Tigers continue at this pace how many games will the Tigers win in a 72 game season?

Jul 30, 2017

See a solution process below:

#### Explanation:

If wins to losses are 5 to 4.

Then wins to total games is: wins to $\left(\text{wins "+" loss}\right)$

Or

$5 \text{ to " (5 + 4) => 5" to } 9$

When can then write:

$5 : 9 \to x : 72$

Or

$\frac{5}{9} = \frac{x}{72}$

Multiplying each side by $\textcolor{red}{72}$ to solve for $x$ gives:

$\textcolor{red}{72} \times \frac{5}{9} = \textcolor{red}{72} \times \frac{x}{72}$

$\cancel{\textcolor{red}{72}} 8 \times \frac{5}{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}}} = \cancel{\textcolor{red}{72}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{72}}}}$

$40 = x$

$x = 40$

At a 5 win to 4 loss rate the Tigers will win 40 games in a 72 game season.