April, May and June have 90 sweets between them. May has three quarters of the number of sweets that June has. April has two thirds of the number of sweets that May has. How many sweets does June have?
A) 60
B) 52
C) 48
D) 40
E) 36
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1
April + June + May = 90 sweets -------(1)
May = 3/4 × June ----- (2)
April = 2/3 × May -----(3)
substitute (2) in (3)
April = 2/3 × 3/4 × June
= 1/2 × June
substitute in (1)
1/2 × June + June + 3/4 × June = 90
2×June + 4×June + 3×June = 90
4
2×June + 4×June + 3×June = 90×4
9×June = 90×4
June = 90 × 4
9
= 40 sweets
Answer - (D) 40
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