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WAEC Mathematics 2020 Paper

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Question : 15

Total: 48

Given that x is directly proportional to y and inversely proportional to Z, x = 15 when y = 10 and Z = 4, find the equation connecting x, y and z

x = $\; \frac{6y}{z}$
x = $\; \frac{12y}{z}$
x = $\; \frac{3y}{z}$
x = $\; \frac{3y}{2z}$

Solution:

$x$ x $\; \frac{y}{z}$

x = $\; \frac{ky}{z}$

15 = $\; \frac{10k}{4}$

$\; \frac{60}{10}$ = k = 6

Therefore; x = $\; \frac{6y}{z}$

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