Question

There is sufficient food for 50 children for 12 days in a boy's home. If there is an increas

Answer 1

Let the food in the boy's home be : F

Given : This food is sufficient for 50 children for 12 days

$\implies \sf{\textsf{The food consumed by 50 children in one day} : \dfrac{F}{12}}$

$\implies \sf{\textsf{The food consumed by 1 child in one day} : \dfrac{F}{12 \times 50}}$

Given : There is an increase of 10 more children

It means : Total children = 60

$\implies \sf{\textsf{The food consumed by 60 children in one day} : \dfrac{F \times 60}{12 \times 50}}$

$\implies \sf{\textsf{The food consumed by 60 children in one day} : \dfrac{F}{10}}$

$\implies \sf{\textsf{The food consumed by 60 children in 10 days} : \dfrac{F\times 10}{10}}$

$\implies \sf{\textsf{The food consumed by 60 children in 10 days} : F}$

Answer: The food is sufficient for 10 days