two thirds of the way through the basketball season candance

two thirds of the way through the basketball season, candance of the LA sparks has an average of 18 points per game . What must her point average be for the remaining games to average 22 points per game for the season?

Solution

2/3 rd of the way candance has an average of 18 points

let for remaining 1/3rd she has an average of x points

so the equation becomes

2/3 * 18 + 1/3 * x = 22

12 + x/3 = 22

subtracting 12 from both sides

x/3 = 10

x = 30 points

therefore, she must have an average of 30 points for the remaining games