Question

The boxes are to be filled with apples in a heap. If 24 apples are put in a box
then 27 boxes are needed. If 36 apples are filled in a box how many boxes will
be needed​

Answer 1

Answer-

If 36 apples are filled in a box, then 18 boxes will be needed.

Solution-

The boxes are to be filled with apples in a heap. If 24 apples are put in a box then 27 boxes are needed.

Then total number of apples is,

= Total number of boxes × Number of apples in a single box

= 27 × 24

= 648

As the number of apples remains same and 36 apples are to be filled in a single box,

Then total number of boxes will be needed,

= Total number of apples / Number of apples in a single box

= 648 / 36

= 18

Therefore, 18 boxes will be needed.

PLEASE MARK THIS ANSWER AS BRAINLIEST !!!!!

Answer 2

Answer:

Let the number of apples in each box be = ‘x’

Total number of boxes required be = ‘y’

The number of apples in each box are varying inversely with the total number of boxes.

So, x ∝ 1/y

x = k × (1/y) where, k is the constant of variation,

∴ x × y = k … (i)

If 24 apples are put in a box then 27 boxes are needed.

When x = 24, y = 27

Substitute the value of x = 24 and y = 27 in (i), we get

x × y = k

24 × 27 = k

k = 648

Now, substitute the value of k = 648 back in (i), we get

x × y = k

∴ x × y = 648 … (ii)

This is the equation of variation.

Now, let us find number of boxes needed when 36 apples are filled in each box.

So, when x = 36, y =?

Substituting x = 36 in (ii), we get

x × y = 648

36 × y = 648

y = 64836

y = 18

∴ If 36 apples are filled in a box then 18 boxes are required.