roliviacooper891 roliviacooper891
  • 12-11-2020
  • Mathematics
contestada

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?

Respuesta :

erinna erinna
  • 19-11-2020

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.

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