Divide 1380 among Ahmed and John and babita so that the amount Ahmed receives his 5 times as much as babita share and is 3 times as much as John's share?
Answers
Answer:
let share of ahmad is rs X.
babita share is X/5.
John share is X/3.
X + X/5 + X/3 = 1380
15X + 3X + 5X = 1380 *15
23X= 1380*15
X= 1380*15/23
X=60*15
X=900
share of Ahmad = 900
share of John= X/3=900/3=300
Share of Babia= X/5=900/5=180
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Answer:
Ahmed's share = 900 Rs.
Babita's share = 180 Rs.
John's share = 300 Rs.
Step-by-step explanation:
Let,
Babita's share = x
Ahmed's share = 5x
★ According to question:
John's share = total amount - Babita's share + Ahmed's share
➨ Rs 1,380 - x + 5x
➨ Rs 1,380 - 6x
Ahmed's share is times as much as John's share = 5x = 3 (Rs 1,380 - 6x)
So,
➨ 5x = 4140 - 18x
➨ 5x + 18x = 4140
➨ 23x = 4140
➨ x = 4140 / 23
➨ x = 180
Babita's share = 180
Ahmed's share = 5x
➨ 5 (180) = 5 × 180
➨ 900
John's share = 1,380 - 6x
➨ 1,380 - 6 (180) = 1,380 - 6 × 180
➨ 300
Therefore,
• Ahmed's share = 900 Rs.
• Babita's share = 180 Rs.
• John's share = 300 Rs