Respuesta :
Using proportions, it is found that the amounts of manure produced are given as follows:
a) 27,600L each day.
b) 193,200L each week.
c) 10,074,000L each year.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Each animal produces 60L of manure each day, and there are 460 animals in the cattle, hence the daily amount produced is given by:
D = 60 x 460 = 27,600L
A week has 7 days, hence the weekly amount produced is given by:
W = 7 x 27,600 = 193,200L.
An year has 365 days, hence the yearly amount produced is given by:
Y = 365 x 27,600 = 10,074,000L.
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The amount of manure produced each day is 27600L, the amount of manure produced each week is 193200 L and the amount of manure produced each year is 10046400 L
a. How much manure is produced each day?
The number of animals is
Cattle = 460
An animal produces 60L of manure each day.
So, the amount of manure produced each day is
Total Amount = Cattle * Daily amount of manure
This gives
Total Amount = 460 * 60
Evaluate
Total Amount = 27600
Hence, the amount of manure produced each day is 27600L
b. How much is produced in a week?
The number of animals is
Cattle = 460
An animal produces 60L of manure each day.
So, the amount of manure produced each week is
Total Amount = Cattle * Daily amount of manure * 7
This gives
Total Amount = 460 * 60 * 7
Evaluate
Total Amount = 193200
Hence, the amount of manure produced each week is 193200 L
c. How much is produced in a year?
The number of animals is
Cattle = 460
An animal produces 60L of manure each day.
So, the amount of manure produced each year is
Total Amount = Cattle * Daily amount of manure * 7 * 52
This gives
Total Amount = 460 * 60 * 7 * 52
Evaluate
Total Amount = 10046400
Hence, the amount of manure produced each year is 10046400 L
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