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Sagot :
The month of June has 40 sweets
Let the number of sweets in the month of June be P
Given that April, May and June collectively have 90 sweets
Given that May has three quarters of number of sweets as that of June
So we can write
[tex]\rm Number\; of \; sweets\; in \; May = \dfrac{3P}{4 } .......(1) \\[/tex]
Similarly it is given that April has two third of sweets as that of May month and hence we can write
[tex]\rm Number\; of\; sweets \; in \; April = \dfrac{2}{3} \times \dfrac{3P}{4} = P/2 ......(2)\\[/tex]
As the total number of sweets in April, May and June is 90
Let the number of sweets in May be "M" and in April be "A"
We can write the following equation and solve it further
[tex]\rm M + A + P = 90\\From \;equations \; (1) \; and \; (2) \\[/tex]
[tex]\rm P + 3P/4 + P/2= 90\\\\2.25 \; P = 90\\P = 40[/tex]
So we can conclude that the month of June has 40 sweets
For more information please refer to the link given below
https://brainly.com/question/1301963
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