Question

a basketball team played 70 games. they won 26 more than they lost. how many games did they win? how many games did they lose? how many games did they win? \square

Explanation:

Step1: Define variables

Let \( x \) be the number of games lost. Then the number of games won is \( x + 26 \).

Step2: Set up equation

The total number of games is the sum of games won and lost, so \( x+(x + 26)=70 \).

Step3: Solve the equation

Simplify the left side: \( 2x+26 = 70 \).
Subtract 26 from both sides: \( 2x=70 - 26=44 \).
Divide both sides by 2: \( x=\frac{44}{2}=22 \).

Step4: Find number of games won

The number of games won is \( x + 26=22 + 26 = 48 \).

Answer:

The number of games they won is 48, and the number of games they lost is 22. For the "How many games did they win?" part, the answer is 48.