Question

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?

Answer 1

See a solution process below:

Explanation:

If wins to losses are 5 to 4.

Then wins to total games is: wins to `("wins "+" loss")`

Or

`5" to " (5 + 4) => 5" to " 9`

When can then write:

`5:9 -> x:72`

Or

`5/9 = x/72`

Multiplying each side by `color(red)(72)` to solve for `x` gives:

`color(red)(72) xx 5/9 = color(red)(72) xx x/72`

`cancel(color(red)(72)) 8 xx 5/color(red)(cancel(color(black)(9))) = cancel(color(red)(72)) xx x/color(red)(cancel(color(black)(72)))`

`40 = x`

`x = 40`

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