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Ratio and Proportion Practice Test 2

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Question : 15 of 40

Marks: +1, -0

If 13x = 15y = 14z, then x : y : z is equal to:

195 : 210 : 182
182 : 195 : 210
210 : 195 : 182
210 : 182 : 195
210 : 194 : 181

Solution:

Concept:

When products are equal, set them equal to a constant and convert to ratios.

Explanation:

Let

13x=15y=14z=k

.

Then

x=\frac{k}{13}

,

y=\frac{k}{15}

,

z=\frac{k}{14}

.

So

x:y:z=\frac{1}{13}:\frac{1}{15}:\frac{1}{14}

.

Multiply each term by LCM

(13,15,14)=2730

.

Thus

x:y:z=210:182:195

.

Answer:

210:182:195

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