WAEC 2018 Mathematics · Question 36

If x : y = $\frac{1}{4} : \frac{3}{8}$ and y : z = $\frac{1}{3} : \frac{4}{9}$ , find x : z

Options

A.2:3
B.3:4
C.3:8
D.1:2

Answer: D. 1:2

Explanation written with AI and checked against the answer key

Step 1: Simplify x : y x : y = 1/4 : 3/8. Multiply both sides by 8: 2 : 3. Step 2: Simplify y : z y : z = 1/3 : 4/9. Multiply both sides by 9: 3 : 4. Step 3: Link the ratios In x : y = 2 : 3, y = 3. In y : z = 3 : 4, y = 3. The y values already match, so no adjustment is needed. So x : y : z = 2 : 3 : 4. Step 4: Find x : z x : z = 2 : 4 = 1 : 2 Answer: D (1:2) Tip: When you see ratios with fractions, multiply by the LCM of the denominators to turn them into whole numbers first. Then check whether the "common" term (here y) is already equal in both ratios. If it is, you can combine them directly. If not, scale the ratios until it is.

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If x : y = 14:38\frac{1}{4} : \frac{3}{8}41​:83​ and y : z = 13:49\frac{1}{3} : \frac{4}{9}31​:94​, find x : z

Options

Answer: D. 1:2

If x : y = $\frac{1}{4} : \frac{3}{8}$ and y : z = $\frac{1}{3} : \frac{4}{9}$ , find x : z