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?
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SAHMom
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)

jasperrr
Please see the solution in the attatched picture.