Question

A hostel has a store of 6190.80 kg of wheat for 105

students for 22 days. After five days, 14 more students

come to the hostel. If all the students eat the same

food, then for how many days will the remaining

wheat be sufficient for the students?

a). 15
b). 13
c). 11
d). 17​

Answer 1

Answer:

15 addition artist jbgjn

Answer 2

Total Storage of wheat = 6190.80 KG for 22 days

So , Mass of wheat for 1 day only = 6190.80 / 22 = 281.4 kg

Now , Mass of wheat needed for 1 student in 1 day = 281.4 / 105 = 2.68 kg

Since 14 new students joins the hostel , total students = 105 + 14 = 119

Now , Total Mass of wheat eaten by total students in one day = (105 + 14) * 2.68 kg = 318.92 kg

since 5 days , 105 days feed on wheat alone , so mass of wheat already fed = 105 x 2.68 x 5 = 1407 Kg

So subtract 6190.8 from 1407 = 4791.80 kg

Now divide 4791.8 by 318.92 = 15 approx.

so ans is 15 days