You have 40 sheep, and can get a 2/3 of a bushel of wool from each. You want to buy 1100 bricks from the kiln to enclose a sheepfold to protect your flock. The kiln operator charges a shekel of copper for each 5 bricks. The trader from Anatolia wants as much wool as possible, and will give you 7 shekels of copper for each bushel. So obviously you want to sell your wool to the trader, and then buy the bricks. Write this out as an algebraic problem. Give names for all of the quantities, such as sheep, shekels, etc. But can you buy the 1100 bricks you need? How many bushels of wool extra would you have beyond what you need for the bricks, or how many are you missing? How many sheep does that represent?
You have 40 sheep, and can get a 2/3 of a bushel of wool from each. You want to buy 1100 bricks from the kiln to enclose a sheepfold to protect your flock. The kiln operator charges a shekel of copper for each 5 bricks. The trader from Anatolia wants as much wool as possible, and will give you 7 shekels of copper for each bushel. So obviously you want to sell your wool to the trader, and then buy the bricks. Write this out as an algebraic problem. Give names for all of the quantities, such as sheep, shekels, etc. But can you buy the 1100 bricks you need? How many bushels of wool extra would you have beyond what you need for the bricks, or how many are you missing? How many sheep does that represent?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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You have 40 sheep, and can get a 2/3 of a bushel of wool from each. You want to buy 1100 bricks from the kiln to enclose a sheepfold to protect your flock. The kiln operator charges a shekel of copper for each 5 bricks. The trader from Anatolia wants as much wool as possible, and will give you 7 shekels of copper for each bushel. So obviously you want to sell your wool to the trader, and then buy the bricks.
Write this out as an algebraic problem. Give names for all of the quantities, such as sheep, shekels, etc.
But can you buy the 1100 bricks you need?
How many bushels of wool extra would you have beyond what you need for the bricks, or how many are you missing? How many sheep does that represent?
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