Given:
Total number of tickets = 80
Ratio of winning tickets to losing tickets is 2 : 8.
To find:
The number of tickets of each kind in the bag.
Solution:
Let the number of winning and losing tickets are 2x and 8x respectively.
Total number of tickets = 80
[tex]2x+8x=80[/tex]
[tex]10x=80[/tex]
Divide both sides by 10.
[tex]x=\dfrac{80}{10}[/tex]
[tex]x=8[/tex]
Now,
Winning tickets : [tex]2(8)=16[/tex]
Losing tickets : [tex]8(8)=64[/tex]
Therefore, the winning and losing tickets are 16 and 64 respectively.