Question

There are 80 tickets in a bag and the ratio of winning tickets to losing tickets is 2 : 8. How many of each kind of ticket are in the bag?

Answer 1

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

`2x+8x=80`

`10x=80`

Divide both sides by 10.

`x=(80)/(10)`

`x=8`

Now,

Winning tickets :
`2(8)=16`

Losing tickets :
`8(8)=64`

Therefore, the winning and losing tickets are 16 and 64 respectively.