Question

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

of 10 more children, for how many days the food is sufficient?
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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} : (F)/(12)}`

`\implies \sf{\textsf{The food consumed by 1 child in one day} : (F)/(12 * 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} : (F * 60)/(12 * 50)}`

`\implies \sf{\textsf{The food consumed by 60 children in one day} : (F)/(10)}`

`\implies \sf{\textsf{The food consumed by 60 children in 10 days} : (F* 10)/(10)}`

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

Answer: The food is sufficient for 10 days