A hostel has food for 600 students for 50 days. After 15 days, if 180 students leave
the hostel, how long will the food last?​

Answer is 35

Step-by-step explanation:

After 15 days, 600-180=420.

After 15 days, 600-180=420.Therefore, 600 : 50

After 15 days, 600-180=420.Therefore, 600 : 50 420 : X

Let X represent the number of days.

So now, X. × 50

X. × 50 . . Or Simply 50/ 600= 1/12

X. × 50 . . Or Simply 50/ 600= 1/12 420. 600.

No u cross multiply this fraction.

Which is, X × 12= 12X

X × 12= 12X 420 × 1 = 420

U have to let X stand alone.

12X = 420

12X = 420 .

12X = 420 . 12. 12

So now u cancel out, 12 will cancel 12 so X will stand alone.

So now 12 will cancel 420 which means 12 will go into 420, 35times.

Therefore X = 35

Meaning the hostel will feed the rest of the students for 35days.

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