the tigers played 20 baseball games during the summer. they won 4 more games than they lost. how many games did they win? how many did they lose?
x + x + 4 = 20
2x = 16
x = 8
Won 12; lost 8
thank you
You're welcome.
To find out how many games the Tigers won and lost during the summer, let's break down the information provided in the question:
1. The Tigers played 20 baseball games during the summer.
2. They won 4 more games than they lost.
To solve this, we need to set up equations based on the given information and use basic algebra to find the answers. Let's say the number of games the Tigers lost is represented by "L" and the number of games they won is represented by "W".
From the second statement, we know that the Tigers won 4 more games than they lost:
W = L + 4 ---(Equation 1)
The first statement tells us that the Tigers played a total of 20 games:
W + L = 20 ---(Equation 2)
Now we have a system of two equations with two unknowns. We can solve this system using substitution or elimination.
Method 1: Substitution
- From Equation 1, we know W = L + 4.
- Substitute this value into Equation 2: (L + 4) + L = 20.
- Simplify the equation: 2L + 4 = 20.
- Subtract 4 from both sides: 2L = 16.
- Divide both sides by 2: L = 8.
Now that we know L (the number of games lost) is 8, we can use Equation 1 to find W (the number of games won):
W = L + 4 = 8 + 4 = 12.
So, the Tigers won 12 games and lost 8 games during the summer.