two friends pooled the tickets they won from playing video games to get a prize that requires 800 tickets if one friend won 130 more tickets than the other friend, how many tickets did each friend win?

Respuesta :

Answer:

Each friend win [tex]465\ tickets[/tex] and [tex]335\ tickets[/tex]

Step-by-step explanation:

Let

x------> one friend's tickets

y-----> the other friend's tickets

we know that

[tex]x+y=800[/tex]

[tex]x=800-y[/tex] ------> equation A

[tex]x=y+130[/tex] ------> equation B

equate equation A and equation B

[tex]800-y=y+130[/tex]

[tex]y+y=800-130[/tex]

[tex]2y=670[/tex]

[tex]y=335\ tickets[/tex]

Find x

[tex]x=335+130=465\ tickets[/tex]