how to work out a total % for 2 components worth 60% and 40%

Question

Trying to work out the overall mark for a module with 2 components eg. component A is worth 40 % of the total and is awarded 55 out of 100 component B is worth 60 % of the total and is awarded 52 out of 100 What is the overall mark and how is it worked out? I am an art teacher!hope someone can help

Answer 1

Let's say the overall mark will be in percentage points, on the scale $0-100$. The student got $$ \frac{55}{100} \cdot 40 = 22 \text{ points} $$ for component A, and $$ \frac{52}{100} \cdot 60 = 31.2 \text{ points} $$ for component B. Their total is $22+31.2 = 53.2$ (out of $100$).