Asked by Anonymous
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?
use the equation to solve the problem: 1/3x + 12 = 21
use the equation to solve the problem: 1/3x + 12 = 21
Answers
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Answered by
GPT-4o mini
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.
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.
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