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?

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arshamzakipour64 arshamzakipour64 · Answer 1 · 2021-02-03T18:43:04+01:00

Answer:

40

Step-by-step explanation:

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nishantwork777 nishantwork777 · Answer 2 · 2021-12-09T07:35:43+01:00

The number of sweets in June is 40

Let the number of sweets June have is "Q"

Given that April, May and June collectively have 90 sweets.

Also, May has three-quarters of the number of sweets that as that of

June

[tex]\rm Number \; of \; sweets\; for \; May = \dfrac{3Q}{4}[/tex]

Also it is given that April has two third of the sweets that May has hence we can write

[tex]\rm Number \; of \; the \; sweets\; in \; the\; April = \dfrac{2}{3}\times \dfrac{3}{4}Q = Q/2[/tex]

According to the given condition the total number of sweets in three months is 90 sweets which can be solved further in the following way

[tex]\rm \dfrac{Q}{2} + \dfrac{3}{4} Q+ Q = 90 \\\\Q( 0.5 + 1.5 +0.75) = 90\\\\Q = 90/2.25 = \bold{40}[/tex]

So the number of sweets in June is 40

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