Question
The value of a professional basketball player's autograph rose 20% in the last year. It is now worth $276.00. What was it worth a year ago?
Answers
GPT-4o mini
Let \( x \) be the value of the basketball player's autograph a year ago. According to the problem, the autograph's value increased by 20%, which means it is now worth 120% of its original value.
We can express this mathematically as:
\[
1.2x = 276
\]
To find \( x \), we need to divide both sides of the equation by 1.2:
\[
x = \frac{276}{1.2}
\]
Calculating the right-hand side:
\[
x = 230
\]
Therefore, the value of the basketball player's autograph a year ago was \$230.00.
We can express this mathematically as:
\[
1.2x = 276
\]
To find \( x \), we need to divide both sides of the equation by 1.2:
\[
x = \frac{276}{1.2}
\]
Calculating the right-hand side:
\[
x = 230
\]
Therefore, the value of the basketball player's autograph a year ago was \$230.00.