Question

One day surprisingly Sharad office friend reached his house and ask for the party but the grocery available at his house was last longer for 4 persons for 28 days but the friends were 16 in number find the number of days the provision will last in Sharad kitchen

Answer 1

Step-by-step explanation:

16 friends will eat 4 days grocery.

So sharad is left with 24 days grocery

28 - 4= 24

Answer 2

The number of days the provision will last in Sharad Kitchen when 16 persons are present is 7 days.

• The grocery available at Sharad's house lasts longer for 4 persons for 28 days.

• Therefore the number of persons and the number of days the grocery will last is inversely proportional to one another.

Number of persons ∝ (number of days)⁻¹

∴ Number of persons = k/number of days

• Now according to the given question,

4 = k/28

k = 112

• Now, the relation between the number of persons and the number of days becomes

Number of persons = 112/number of days

• Now we have to find how many days the grocery will last when 16 persons are present.

• Now substituting in the equation to find the number of days.

16 = 112/number of days

Number of days  = 112/16 = 7

• The number of days that the grocery will last when 16 persons are present is 7.