Answer:
Number of games won = 110
Step-by-step explanation:
Given:
Total games played = 154
The ratio of number of games won to number of games lost = [tex]\frac{5}{2}[/tex]
Solution:
Let the number of games won be = [tex]5x[/tex]
Thus, number of games lost = [tex]2x[/tex]
The total games played can be given as = [tex]5x+2x=7x[/tex]
Thus, we have:
[tex]7x=154[/tex]
Dividing both sides by 7.
[tex]\frac{7x}{7}=\frac{154}{7}[/tex]
∴ [tex]x=22[/tex]
So, number of games won = [tex]5\times 22 = 110[/tex]