A field goal kicker has made 21 out of 30

attempted field goals so far this season. His
field goal average is 0.7.
How many consecutive field goals must he
make to increase his average to 0.8125?

1 answer

let the number of consecutive extra attempts be x
then (21+x)/(30+x) = .8125 = 13/16
336 + 16x = 390 + 13x

solve for x