Question

If for a group of 32 students,the food lasts for 45 days.Then for how many days will the same food last if the number of students becomes 16?

Answer 1

there are 32 students

the food last for 45 days

the number of students become 16

90 days

Answer 2

Answer:

Food will last for 90 days

Step-by-step explanation:

this is a case of inverse proportion

let x be number of students and y be number of days

a is the number of days the food will last if there are 16 children

Table

x  32   16

y  45   a    

since xy=k(constant)-1

32*45=k

k=1440

from 1 we know that

xy= k

therefore from second case

16*a=k

16a=k

since k=1440

16a=1440

a=1440/16=90

therfore would will last for 90 days