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September 18th, 2018, 10:42 PM   #1
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Monthly allowance

Devi spent (2/3) of her monthly allowance on food and (5/6) of the remaining amount on stationery. She spent $35 more on food than on stationery. How much as Devi's monthly allowance?


My work:

Number of allowance = A
Number spent on Food = F
Number spent on Stationary = S


[1] We know Devi spent (2/3) of her allowance.
so 1 - (2/3) = 1/3A (so 1/3 of her allowance is left)

[2] We know she spent (5/6) of her remaining allowance. So (1/3) * (5/6) = 5/18A (I'm guessing 5/18A is the amount of allowance left?)


[3] She spent $35 more on food than on stationery. So, (F + 35) + S = A

[4] We plug it into this forum (F + 35) + S = A
(1/3A + 35) + 5/18A = A

Answer: A = 90
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September 18th, 2018, 11:49 PM   #2
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correct
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