# Mainly need a general solution for x number of chickens

**Question description**

If
a hundred chickens eat a hundred bushels of grain in a hundred days, how many
bushels will ten chickens eat in ten day?
And, if on average, one and a half of these chickens lay an egg and a half
in a day and a half, how many days will it take a chicken to lay one and a half
dozen eggs? **How could you solve this
problem for any number of chickens?**

## Tutor Answer

Attached.

If a hundred chickens eat a hundred bushels of grain in a hundred days, how many bushels will

ten chickens eat in ten day?

And, if on average, one and a half of these chickens lay an egg and a half in a day and a half,

how many days will it take a chicken to lay one and a half dozen eggs? How could you solve

this problem for any number of chickens?

Solution:

To solve this problem we use the concept of proportionality (i.e. directly proportional and

inversely proportional). To apply this concept, we have to understand the relationship between

the different items in the question.

Now, let us solve the first part of the question:

If a hundred chickens eat a hundred bushels of grain in a hundred days, how many bushels

will ten chickens eat in ten day?

a. First, identify the items (or variables) in the question. They are

(i)the number of chickens, let us call this C

(ii)the number of bushels of grain, let us call this B

(iii) the number of days the food would last, let us call this D

b. Next, identify the output (or dependent variable). The output is the variable that depends

on other variable. Note, this vari...

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