Question

A peari set broke, with an eighth of the pearis falling onto the floor, a fourth going under a chair, two-fifths staying on the sofa and eighteen pieces staying on the strand. How many pearls fell on the floor?

Ans- 10​

Answer 1

Step-by-step explanation:

LET THE TOTAL NO. OF PEARLS BE x.

THEN,NO.OF PEARLS FELL ONTO THE FLOOR= x/8

,NO.OF PEARLS FALLING UNDER THE CHAIR= x/4

,NO.OF PEARLS STAYING ON THE SOFA= 2x/5

AND GIVEN THAT, 18 PEARLS STAYED ON THE STRAND.

SO, ACCORDING TO THE QUESTION,

x-{(x/8)+(x/4)+(2x/5)}= 18

=> x-{(5x+10x+16x)/40}= 18

=> x-(31x/40)= 18

=> (40x-31x)/40= 18

=> 9x/40= 18

=>9x = 18*40

=> x= (18*40)/9

=> x= 80.

THEREFORE,THERE WERE 80 PEARLS IN TOTAL.

SO, NO. OF PEARLS FELL ON THE FLOOR = x/8

=80/8

=10pearls.

HENCE, 10 PEARLS FELL ON THE FLOOR.

⭐BEST OF LUCK BRO⭐