Answer:
$220
Step-by-step explanation:
Let one year ago, worth of a professional basketball player's autograph=x
After increasing worth by 30%
Now, worth of a professional basketball player's autograph=$286
We have to find the worth of a professional basketball player's autograph a year ago.
30% of x=[tex]\frac{30}{100}\time x=\frac{30x}{100}[/tex]
According to question
[tex]x+\frac{30x}{100}=286[/tex]
[tex]\frac{100x+30x}{100}=286[/tex]
[tex]\frac{130x}{100}=286[/tex]
[tex]x=\frac{286\times 100}{130}[/tex]
[tex]x=220[/tex]
Hence, a year ago the worth of a professional basketball player's autograph=$220
