Question

The ratio of wins to losses the Steelers have over the Bengals is 5:1. If they have played each other 48 times in the past 15 years, how many times have the Steelers won? How many games have they lost?

Answer 1

Number of games won by Steelers = 40

Number of games lost by steelers = 8

Explanation:

Ratio of wins to losses the Steelers have over the Bengals = 5:1

Total number of games the have played each other in past 15 years = 48

Let number of games won by Steelers be =
`5x`

Let number of games lost by Steelers be =
`x`

Total number of games played =
`5x+x=6x`

So, we have

`6x=48` [Total number of games played]

Dividing both sides by 6.

`(6x)/(6)=(48)/(6)`

∴
`x=8`

Number of games won by Steelers =
`5* 8 = 40`

Number of games lost by steelers = 8