Question

Leela invited some friends for tea on her birthday. Her mother placed some plates and some puris on a table. If leela place 4 puris in each plate 1 plate would be left. But if she places 3 puris in each plate 1 puri would be left. Find number of plates and number of puris with explanation?

Answer 1

Let the total number of puris be x, and the plates be y.

From the first given, if she places 4 puris in each plate, one plate would be missing. If we put these words into an equation:

$x=4(y-1)$   (1)

From the second given, if she places 3 puris in each plate, 1 puri will be given. If we put these words into an equation:

$x=3y+1$    (2)

From equations (1) and (2):

$3y+1=4y-4\\y=5$.

Therefore, the number of plates is 5.

Now solve for x:

$x=3y+1=3(5)+1=16.$

Therefore, the number of puris is 16.

Answer 2

Answer:

Let the total number of puris be x, and the plates be y.

From the first given, if she places 4 puris in each plate, one plate would be missing. If we put these words into an equation:

 (1)

From the second given, if she places 3 puris in each plate, 1 puri will be given. If we put these words into an equation:

  (2)

From equations (1) and (2):

.

Therefore, the number of plates is 5.

Now solve for x:

Therefore, the number of puris is 16.

Step-by-step explanation:

hope it is helpful