the expression for mean in this case is
[tex]50 = \frac{1}{5}(d + 20 + 75 + 20 + 90) = \frac{1}{5}(d+205)[/tex]
with d standing for expenditure in December. Now solve for d:
[tex]250 = d + 205\\d = 45[/tex]
The student has to spend $45 to meet his goal.