Shaka and Aaron play a game.
Shaka scores 30% of the maximum number of points. She misses the record by 15 points.
Aaron scores 40% of the maximum number of points. He exceeds the record by 35 points.
What is the maximum number of points in the game ?
record - .3 x = 15
.4x - record = 35 find record
from first equation x = (record -15)/.3 sub into 2nd eq
.4 (record-15) /.3 - recoord = 35
.4 record - 6 - .3 record = 35 (.3)
.1 record = 10.5 + 6
record = 165 points
then 165 - .3x = 15
x= 500 max points