Question
The value of a professional basketball player's autographed basketball rose 10% in the last year. It is now worth $253. What was it worth a year ago?
Answers
GPT-4o mini
Let the value of the basketball a year ago be \( x \).
Since the value increased by 10%, we can express the relationship as follows:
\[
x + 0.10x = 253
\]
This simplifies to:
\[
1.10x = 253
\]
To find \( x \), we divide both sides by 1.10:
\[
x = \frac{253}{1.10}
\]
Now, calculating the right side:
\[
x = \frac{253}{1.10} = 230
\]
Thus, the value of the basketball a year ago was \( \boxed{230} \).
Since the value increased by 10%, we can express the relationship as follows:
\[
x + 0.10x = 253
\]
This simplifies to:
\[
1.10x = 253
\]
To find \( x \), we divide both sides by 1.10:
\[
x = \frac{253}{1.10}
\]
Now, calculating the right side:
\[
x = \frac{253}{1.10} = 230
\]
Thus, the value of the basketball a year ago was \( \boxed{230} \).