Question 235852
So far, she has won
{{{.9*20 = 18}}} games
Let {{{x}}} = the number of games in a row she must win
{{{(18 + x)/(20 + x) = .92}}}
{{{18 + x = .92*(20 + x)}}}
{{{18 + x = 18.4 + .92x}}}
{{{.08x = .4}}}
{{{x = 5}}}
She must win 5 games in a row
check:
{{{(18 + x)/(20 + x) = .92}}}
{{{(18 + 5)/(20 + 5) = .92}}}
{{{23/25 = .92}}}
{{{23 = .92*25}}}
{{{23 = 23}}}
OK