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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

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Edufirst

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.