.divide AED 1380 among Ahmed John and Babita so that the amount Ahmed receives is 5 times as much as babita's share and its 3 times as much as John's share

dear reiny
i tried your way of doing it but i am unable to find it
please help
and my father gave me a different explanation which is correct but still dint work
please help

if the father's explanation is correct, why dint it work?

a = 5b
a = 3j
a+b+j = 1380

We know that
b = a/5
j = a/3
so,

a + a/5 + a/3 = 1380
a=900

So,
Ahmed had 900
Babita had 180
John had 300

Let Babita share =x

Ahmad share=x/5
John share=x/3
A/q-
x+x/5+x/3=1380
15x+3x+5x/15=1380
23x/15=1380
23x=1380(15)
x=20700/23
=900
So, x=900
x/5=180
x/3=300

i didnt understand at all

Correct!

đź‘Ť1 đź‘Ž0

I am sorry to say but i did not understand at all!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

To divide AED 1380 among Ahmed, John, and Babita such that Ahmed receives 5 times as much as Babita's share and 3 times as much as John's share, we can follow the steps below:

Let's assume Babita's share as x.

1. Ahmed's share: 5x
2. John's share: (1/3) * 5x (since Ahmed's share is 3 times John's share)
=> John's share: (5/3)x

Now, we can set up the equation:
x + (5/3)x + 5x = 1380

To solve for x, we need to combine like terms:
(3/3)x + (5/3)x + 5x = 1380
(13/3)x = 1380

To isolate x, we'll multiply both sides by (3/13):
x = (1380 * 3) / 13
x = 300

Babita's share is 300 AED.

To find Ahmed's share:
Ahmed's share = 5 * Babita's share
Ahmed's share = 5 * 300
Ahmed's share = 1500 AED

To find John's share:
John's share = (5/3) * Babita's share
John's share = (5/3) * 300
John's share = 500 AED

Therefore, Ahmed will receive 1500 AED, John will receive 500 AED, and Babita will receive 300 AED.

Fgh

Vb