(Cayley 2023, Part B, Question 18, CEMC - UWaterloo)

A factory makes chocolate bars. Five boxes, labelled $V$, $W$, $X$, $Y$, $Z$, are each packed with $20$ bars. Each of the bars in three of the boxes has a mass of $100$ g. Each of the bars in the other two boxes has a mass of $90$ g. One bar is taken from box $V$ , two bars are taken from box $W$, four bars are taken from box $X$, eight bars are taken from box $Y$ , and sixteen bars are taken from box $Z$. The total mass of these bars taken from the boxes is $2920$ g. The boxes containing the $90$ g bars are labelled
$(A)$ $V$ and $W$
$(B)$ $W$ and $Z$
$(C)$ $X$ and $Y$
$(D)$ $V$ and $Z$
$(E)$ $W$ and $Y$

Answer Submission Note(s)
Your answer should be a single capital letter, e.g. 'A'.