book Maths Puzzle Numerical Ability

16cups and 4 cups will this problem be a ratio or a rate and the answer in simp;y form also explain why it will be a ratio or a rate

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book Other Question

Let u, v, and w be distinct vectors of a vector space V. Show that if
{u, v, w} is a basis for V, then {u + v + w, v + w, w} is also a basis
for V.
How does one find the particular equation of a quadratic function that passes throught the points (1,4), (-3,32), and (4,25)?