Question

a woman spent 1/4 of her salary , 1/3 of the remainder on food and 1/5 on transport . if she has 3000 left how much did she have originally

Answer 1

• $8571.43

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Let the initial amount be x.

A woman spent 1/4 of her salary, remainder is

• x - 1/4x = 3/4x

1/3 of it spent on food and 1/5 on transport

• (3/4x)(1/3 + 1/5) = 3/4x × 8/15 = 2/5x

Remaining amount is $3000

• 3/4x - 2/5x = 3000
• 15/20x - 8/20x = 3000
• 7/20x = 3000
• x = 3000×20/7
• x = 8571.43