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marysya [2.9K]
3 years ago
12

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

Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

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 %.

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