Question

In basketball, a field goal can be worth either two or three points. During his career, an NBA player has made 49.93%of his two-point field goal attempts and 36.51% of his three-point field goal attempts. Assuming the value of a missed attempt is the average value of this player’s career field goal attempts is 1.0389 points. What percent of his career field goal attempts have been three-point attempts? Express your answer as a percent to the nearest whole number.

This is not part of an ongoing competition its i didn't know how to do it and i wanted to know how.

Answer 1

If you think about it, the actual number of shots does not matter. So let's just call it 1.
.4993(1-x)*2 + .3651x*3 = 1.0389
x = 0.4167
So, 41.67% of his shots were 3-pointers