Hypatia 2024 Question 1, CEMC UWaterloo

Difficulty: 4

This problem is tagged with hypatia, hypatia24, highschool.

(Hypatia 2024, Question 1, CEMC - UWaterloo)

At Radford Motors, $4050$ trucks were sold. Of the trucks sold, $32\%$ were white, $24\%$ were grey, and $44\%$ were black.
(a) How many white trucks were sold?
(b) If $\frac{1}{4}$ of the grey trucks sold were electric, how many trucks sold were both grey and electric?
(c) In addition to the $4050$ trucks that were sold, there were $k$ unsold trucks, all of which were black. In total, $46\%$ of all trucks, sold and unsold, were black. Determine the value of $k$.

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