Ahmadllah's basketball team will play 21 games this season. that is 12 more games than 1/3 the number of games they played last season. how many games did they play last season?

Question

use the equation to solve the problem: 1/3x + 12 = 21

Answer 1

To solve the equation \( \frac{1}{3}x + 12 = 21 \), where \( x \) represents the number of games Ahmadllah's team played last season, we can follow these steps:

1. Subtract 12 from both sides of the equation: \[ \frac{1}{3}x + 12 - 12 = 21 - 12 \] This simplifies to: \[ \frac{1}{3}x = 9 \]

2. Next, multiply both sides of the equation by 3 to eliminate the fraction: \[ 3 \cdot \frac{1}{3}x = 9 \cdot 3 \] This simplifies to: \[ x = 27 \]

Thus, Ahmadllah's team played 27 games last season.