Question

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

Answer 1

Answer:

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.