Question

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?
help

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

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

$\rm Number\; of \; sweets\; in \; May = \dfrac{3P}{4 } .......(1)$

Similarly it is given that April has two third of sweets as that of May month and hence we can write

$\rm Number\; of\; sweets \; in \; April = \dfrac{2}{3} \times \dfrac{3P}{4} = P/2 ......(2)$

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

$\rm M + A + P = 90\\From \;equations \; (1) \; and \; (2)$

$\rm P + 3P/4 + P/2= 90\\\\2.25 \; P = 90\\P = 40$

So we can conclude that the month of June has  40 sweets

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