A minor league baseball team plays 89 games in a season. If the team won 14 more than twice as many games as they lost, how many wins and losses did the team have?

Respuesta :

Wins: 64  Losses: 25    First, read the description and make a formula that expresses the description. The expression says   "wins is equal to twice loses plus 14"  W = 2L + 14    Now since you know that there's 89 games total, let's write an expression for that as well  89 = W + L    Solve the equation so you can express L in terms of W  89 = W + L    Subtract W from both sides.  89 - W = L    Now substitute the expression for L into the equation for wins and losses.  W = 2L + 14  W = 2(89 - W) + 14    Now solve for W. First, distribute the 2  W = 178 - 2W + 14    Add 2W to both sides  W + 2W = 178 + 14    Combine terms  3W = 192    Divide both sides by 3  W = 64    Now that you know W, calculate L  L = 89 - W  L = 89 - 64  L = 25