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.
Answers
Each boy should get Rs. 13.
Step-by-step explanation:
Total amount to be distributed among 2 boys and 3 girls = Rs. 144
Let the boys are represented as “B” and the girls are represented as “G”.
Therefore, we can write
2B + 3G = 144 ….. (i)
Also given that each girl gets three times as much as each boy gets, so, we have
G = 3B ….. (ii)
Now, substituting (ii) in (i), we get
2B + 3*(3B) = 144
⇒ 2B + 9B = 144
⇒ 11B = 144
⇒ B = 144/11
⇒ B = Rs. 13.09 ≈ Rs. 13 ← amount that each boy should get
--------------------------------------------------------------------------------------------------
Also View:
Algebra based word problem
https://brainly.in/question/8671782
Word problems.....
https://brainly.in/question/6395453
Each boy gets Rs. 13.
Step-by-step explanation:
Given: 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.
Solution:
Let x be the amount paid to each kid.
Each boy gets x/3 amount while each girl gets x amount.
So the given info can be written as:
(2x / 3) + 3x = 144
(2x / 3) + (9x / 3) = 144
2x + 9x = 144 * 3
11x = 144 * 3
Therefore x = 144 * 3 / 11 = 39.27.
Rounding off x to the closest countable form of Indian Rupees, we get x = Rs. 39.
Each girl gets Rs. 39.00
Each boy gets 39 / 3 = Rs. 13.00