Question

The ratio of games won to games lost for a baseball team is 3:2. The team won 27 games. In total, how many games did the team play?
and

The ratio of games won to games lost for a baseball team is 3:2. The team won 27 games. How many games did the team lose?

Answer 1

Start by setting up the equation $\frac{3}{2}$ = $\frac{27}{x}$ and cross multiply

27 · 2 = 3x

then simplify

54 = 3x

and solve

x = 18

The team lost 18 games.

And to find out how many total games they played, take 27 and add it to 18.

27 + 18 = 45

The team played 45 games.

Answer 2

Won : Lost = 3 : 2

Find total number of parts:

Total parts = 3 + 2 = 5

Find 1 part:

3 parts = 27

1 part = 27 ÷ 3 = 9

Find total parts:

5 parts = 9 x 5 = 45

(a) The team played 45 games

45 - 27 = 18

(b) The team lost 18 games