Question

$185 has to be divided among three people such that the share of second person is 1/4 of the share of the third person and the ratio between the first and the third person is 3 : 5. Find each person's share.

Answer 1

First person = 3x

Third person = 5x

Second person = 5x/4

3x + 5x + 5x/4 = 185

12x + 20x + 5x = 185  x 4

37x = 740

x = 20

First person got = 3x = $ 60

Second person got = 5x/4 =$ 25

Thrid person got = 5x = $ 100

(check 100 + 25+60 = 185)

Answer 2

Answer:

Required share of first person, second person and third person is 60 rupees,100 rupees,25 rupees respectively.

Step-by-step explanation:

Given, $185 has to be divided among three people.

It is also given that ratio of first and second person share is 3:5.

Let share of first person be 3x rupees and share of second person be 5x rupees.

It is also given that the share of second person is 1/4 of the share of the third person.

So,share of third person is $\frac{1}{4} \times 5x = \frac{5x}{4} \: rupees$

According to question,

$3x + 5x + \frac{5x}{4} = 185 \\ \frac{4 \times 3x + 4 \times 5x + 5x}{3} = 185 \\ \frac{12x + 20x + 5x}{4} = 185 \\ \frac{37x}{4} = 185 \\ x = \frac{185 \times 4}{37}\\x = 20$

So,share of first person

$= 3 \times 20\\ = 60\: rupees$

and share of second person

$5 \times 20 \\ = 100 \: rupees$

and share of third person =( 5/4)×20 = 5× 5 = 25 rupees.

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