Question 30

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waecmaths question: 

if x : y = 3 : 2 and yz = 5 : 4, find the value of x in the ratio x: y: z

Option A: 

8

Option B: 

10

Option C: 

11

Option D: 

15

waecmaths solution: 

$\begin{align}  & \frac{x}{y}=\frac{3}{2} \\ & x=\frac{3y}{2} \\ & \frac{y}{z}=\frac{5}{4} \\ & z=\frac{4y}{5} \\ & x:y:z=\frac{3y}{2}:y:\frac{4y}{5} \\ & \text{Multiply through by }10 \\ & 10x:10y:10z=15:10:8 \\ & \text{The value of }x=15 \\\end{align}$

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