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Question

hasnim spent 5/8 of his money on monday, 1/5 of the remainder on tuesday, and the rest of the money equally on wednesday, thursday and friday. he spent $420 more on monday than on friday. how much did he have at first?

Answer

Method 1: Fractions below

(Method 2: Draw Branch and total 40u)

5/8 = 25/40 (Mon 25u, total is 40u)

1 – 5/8 = 3/8 = 15/40 (Remainder 15u)

1/5 of remainder = 1/5 x 3/8 = 3/40 (Tue 3u)

15/40 – 3/40 = 12/40

12/40  divide by 3 = 12/40 x 1/3 = 4/40 (each of Wed Thur Friday is 4u)

Difference = 25/40 – 4/40 = 21/40 (or 21u)

21/40 of Total money is $420 (21u)

1/40 of Total money is $20 (1u)

40/40 of Total money is $800# (40u)

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