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Ratio and Proportion Practice Test 4

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Question : 11 of 40

Marks: +1, -0

If a : b = 6 : 7, find (5a + 6b) : (6a - 2b).

$\frac{2}{7}$
$\frac{9}{17}$
$\frac{36}{11}$
$\frac{35}{11}$
25

Solution:

Concept:

Substitute

a=6k

and

b=7k

to simplify the ratio.

Explanation:

Given

a:b=6:7

, let

a=6k

and

b=7k

.

Numerator:

5a+6b=5(6k)+6(7k)=30k+42k=72k

.

Denominator:

6a-2b=6(6k)-2(7k)=36k-14k=22k

.

So

(5a+6b):(6a-2b)=72k:22k=72:22

.

Simplifying,

72:22=36:11

.

Answer:

\frac{36}{11}

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