Raj and Aditi like to play chess against each other. Aditi has won 12 of the 20 games so far. They decide to play more games.

How many more games will Aditi have to win to have a 70% winning record?

12 + x = 0.70(20 + x)
x = x equals StartFraction 20 Over 3 EndFraction is approximately 6.67. ≈ 6.67
She will have to win 7 more games to have a 70% winning record.

How many more games will Aditi have to win to have an 80% winning record?

The linear equation that models this is
_____________.

Aditi would have to win
20
more games to have an 80% winning record.

1 answer

12 + x = 0.80(20 + x)
x = 0.80(20 + x) - 12
x = 16 + 0.80x - 12
0.20x = 4
x = 4 / 0.20
x = 20

She will have to win 20 more games to have an 80% winning record.