A baseball team played 161 regular season games. The ratio of the number of games they won to the number of games they lost was five halves
. How many games did they win? How many games did they lose?
... was five halves
Are we to read that as 5/2 which as a ratio would be 5 : 2
So let the number of games won be 5x and the number lost be 2x
so 5x + 2x = 161
7x = 161
x = 23
so they won 5x or 115 games, and lost 2x or 46 games
note 115 : 46
= 5 : 2 , and 115+46 = 161
To find the number of games the baseball team won and lost, we'll set up an equation using the given ratio.
Let's assign "x" to the number of games they won and "y" to the number of games they lost.
According to the information given, the ratio of games won to games lost is 5/2.
So we can write the equation as:
x/y = 5/2
To solve this equation, we can cross-multiply:
2x = 5y
Simplifying, we have:
x = (5/2)y
Now, we know that the team played a total of 161 games, so the sum of games won and games lost should equal 161:
x + y = 161
Since we have an equation for "x" in terms of "y," we can substitute this expression into the second equation:
(5/2)y + y = 161
(7/2)y = 161
To find "y," we can multiply both sides of the equation by 2/7:
y = (161 * 2) / 7
y = 322/7
y ≈ 46
Now, substituting the value of "y" back into the equation x = (5/2)y:
x = (5/2) * 46
x = 115
Therefore, the baseball team won 115 games and lost 46 games.
To find the number of games the baseball team won and lost, we need to solve the given ratio equation.
The ratio of games won to games lost is given as 5/2.
Let's assume the number of games won is represented by "5x" and the number of games lost is represented by "2x" (where x is a positive integer).
According to the given information, the total number of games played is 161.
So, we can set up the following equation:
5x + 2x = 161
Combining like terms, we have:
7x = 161
To solve for x, we divide both sides of the equation by 7:
x = 161/7
x ≈ 23
Now that we know the value of x, we can find the number of games won and lost:
Number of games won = 5x = 5 * 23 = 115
Number of games lost = 2x = 2 * 23 = 46
Therefore, the baseball team won 115 games and lost 46 games