your baseball team has won 6 games and lost 4 games. if the team does not lose any more games, how many games must the team win to have a win : loss ratio of 2: explain

The team must win 2 games to have a win : loss ratio o 2.

Step-by-step explanation:

Ratio win : loss, r:

r = total wins / total losses

Total wins, Tw:

Call n the number of new wins:

Tw = number of wins until so far + number of new win = 6 + n

Total losses, Tl:

Tl = number of losses so far + number of new losses = 4 + 0 = 4

Target ratio:

r = 2 ⇒ Tw / Tl = (6 + n) / 4 = 2

Solve for n:

(6 + n) = 4 * 2 6 + n = 8 n = 8 - 6 n = 2

Hence, the team must win 6 more games.

Verification: (6 + 2) / 4 = 8 / 4 = 2, which is the target ratio.