Rs 144 is distributed among 2 boys and 3 girls in such a way that each girl gets three times as much as each boy gets. Find how much each boy should get.

Respuesta :

Answer:

Each boy gets approximately Rs 13.09                                              

Step-by-step explanation:

We are given the following in the question:

Total money = Rs 144

Let x be the amount each girl gets and y be the amount each boy gets.

The money is distributed among 2 boys and 3 girls. Thus, we can write:

[tex]3x + 2y = 144[/tex]

Also, each girl gets three times as much as each boy gets.

Thus, we can write:

[tex]x = 3y[/tex]

Substituting these values, we get,

[tex]3(3y) + 2y = 144\\11y = 144\\\\y =\dfrac{144}{11} \approx 13.09\\\\x = 3(\dfrac{144}{11}) \approx 39.27[/tex]

Thus, each boy gets approximately Rs 13.09

Answer: each boy should get $39.27

Step-by-step explanation:

Let x represent the amount that each boy should get.

Let y represent the amount that each girl should get.

The total amount of money that would be distributed among the 2 boys and 3 girls is 144 Rs. This is expressed as

2x + 3y = 144 - - - - - - - - - - - -1

The money is shared in such a way that each girl gets three times as much as each boy gets. This is expressed as

y = 3x

Substituting y = 3x into equation 1, it becomes

2x + 3 × 3x = 144

2x + 9x = 144

11x = 144

x = 144/11 = 13.09

y = 3x = 3 × 13.09

y = $39.27