Answer:
Number of games won by Steelers = 40
Number of games lost by steelers = 8
Step-by-step 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 = [tex]5x[/tex]
Let number of games lost by Steelers be = [tex]x[/tex]
Total number of games played = [tex]5x+x=6x[/tex]
So, we have
[tex]6x=48[/tex] [Total number of games played]
Dividing both sides by 6.
[tex]\frac{6x}{6}=\frac{48}{6}[/tex]
∴ [tex]x=8[/tex]
Number of games won by Steelers = [tex]5\times 8 = 40[/tex]
Number of games lost by steelers = 8
