Question

The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $286.00. What was it worth a year ago?

Answer 1

X+0.30x=286
Solve for x
X=220

Answer 2

$220

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=
`(30)/(100)\time x=(30x)/(100)`

According to question

`x+(30x)/(100)=286`

`(100x+30x)/(100)=286`

`(130x)/(100)=286`

`x=(286* 100)/(130)`

`x=220`

Hence, a year ago the worth of a professional basketball player's autograph=$220