Question 155211
the average is the sum of her scores (S) divided by the number of scores (n)


initially, S/n=177 __ S=177n


after 199, (S+199)/(n+1)=178 __ S+199=178n+178 __ substituting __ 177n+199=178n+178


subtracting 177n+178 __ 21=n


in order to raise her average one point, she scored 22 points above average in her 22nd game


to raise her average another point, she will have to score 23 points above her average in her 23rd game


178+23=201