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Chapter 2: Q. 12 (page 93)
Solve the equation. Check your solution.
Solution of given equation is
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Drilling One type of thermal ice drill can drill through ice at a rate of 15 feet per minute by using heat to melt the ice. Find the time it takes the drill to melt through a sheet of ice 75 feet thick.
Challenge The problem below is a variation of one that appears in the ancient Chinese text Nine Chapters on the Mathematical Art. (In the problem, a tou is a Chinese unit of measure.)
A goat, a horse, and a cow mistakenly enter a farmer鈥檚 wheat field and eat some stalks of wheat. The horse eats twice as many stalks as the goat, and the cow eats twice as many stalks as the horse. The farmer demands 5 tou of wheat from the owners of the animals to replace what was eaten. How much wheat should be replaced by the goat鈥檚 owner? by the horse鈥檚 owner? by the cow鈥檚 owner?
a. Let x be the amount of wheat (in tou) that should be replaced by the goat鈥檚 owner. What is an expression in terms of x for the amount that should be replaced by the horse鈥檚 owner? by the cow鈥檚 owner?
b. Write and solve an equation to find x. To the nearest tenth of a tou, how much wheat should be replaced by each animal鈥檚 owner?
What is the coefficient of y in the expression
Agriculture A farmer grows tomatoes and cucumbers in the field shown. The annual cost
of growing tomatoes is \(.27 per square foot. The annual cost of growing cucumbers is \).10 per square foot. Let x represent the width (in feet) of the tomato portion of the field.
Solve the equation. Check your solution.
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