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Ratio and Proportion Practice Test 3

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Question : 16 of 40

Marks: +1, -0

If x : y = 11 : 13, find (6x + 7y) : (8x - 5y).

$\frac{157}{153}$
$\frac{57}{53}$
$\frac{111}{222}$
$\frac{11}{13}$
None of these

Solution:

Concept:

When

x:y=a:b

, take

x=ak

and

y=bk

to simplify the ratio.

Explanation:

Given

x:y=11:13

, let

x=11k

and

y=13k

.

Numerator:

6x+7y=6(11k)+7(13k)=66k+91k=157k

.

Denominator:

8x-5y=8(11k)-5(13k)=88k-65k=23k

.

So,

(6x+7y):(8x-5y)=\frac{157k}{23k}=\frac{157}{23}

.

This value is not present in the given options.

Answer:

\frac{157}{23}

, so the correct choice is E. None of these.

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