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Alice is playing checkers against a computer and has won 8 games out of the 12 she's played so far.
Alice must win the next consecutive games to reach a winning percentage of 80%. After that, losing
consecutive games
will bring her winning percentage down to 50%.

Respuesta :

Answer:

Step-by-step explanation:

[tex]\frac{8+x}{12+x} =\frac{80}{100} =\frac{4}{5} \\40+5x=48+4x\\5x-4x=48-40\\x=8[/tex]

so she wins next 8 consecutive games to reach winning percentage of 80%.

let she loses next y games to reach winning percentage of 50 %.

[tex]\frac{16}{12+8+y} =\frac{50}{100} =\frac{1}{2} \\\frac{16}{20+y} =\frac{1}{2} \\32=20+y\\y=32-20=12y=12[/tex]

Hence she loses next 12 games to reach winning percentage of 50 %.