Mainly need a general solution for x number of chickens

Sep 10th, 2017
Anonymous
Category:
Art Design
Price: \$5 USD

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?

(Top Tutor) uoscar
School: Cornell University

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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