Question

If a : b = 7:9, 6:C = 3:5, c:d = 3:7 and d is 25% more than e, find the ratio between a and e
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Answer 1

Answer:

3 : 8

Step-by-step explanation:

$\frac{6}{c} = \frac{3}{5}$ => c = 10

$\frac{c}{d} = \frac{3}{7}$ => d = 70 : 3

• d is 25% more than e

e = $\frac{70}{3} . \frac{100}{125} = \frac{56}{3}$

• a : b = 7:9 => a = 7

=> $\frac{a}{e} =\frac{3}{8}$

Answer 2

Answer:

The ratio is $3:8$.

Step-by-step explanation:

It is given that $a : b = 7:9$

$6:c= 3:5$

$c:d = 3:7$

Also, $d=1.25e$

Now, $\frac{6}{c} =\frac{3}{5}$

$c=10$

Also,

$\frac{c}{d} =\frac{3}{7}$

$d=\frac{70}{3}$

As    $d=1.25e$

$e=\frac{56}{3}$

$\frac{a}{b} =\frac{7}{9}$

$a=7$

Hence, required $a:e=3:8$

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