Question

Alice is playing checkers against a computer and has won 8 games out of the 12 she's played so far.

Answer 1

Answer:

Step-by-step explanation:

$\frac{8+x}{12+x} =\frac{80}{100} =\frac{4}{5} \\40+5x=48+4x\\5x-4x=48-40\\x=8$

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 %.

$\frac{16}{12+8+y} =\frac{50}{100} =\frac{1}{2} \\\frac{16}{20+y} =\frac{1}{2} \\32=20+y\\y=32-20=12y=12$

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