Question

Once you thoroughly understand dimensional analysis, you can do problems such as this one without the need to write out each step individually, as shown below. 3 boxes \times \frac{30 \text{ rolls}}{1 \text{ box}} \times \frac{25 \text{ nickels}}{1 \text{ roll}} \times \frac{1 \text{ dollar}}{20 \text{ nickels}} = 3 \times 30 \times 25 \div 20 = 112.50 \text{ dollars} c. Use dimensional analysis to solve the following problem. Show your process and how you cancel the units. A farmer planted 75 acres of wheat. He expects to harvest 35 bushels per acre and, for each three bushels, he hopes to be paid $20. What are his total anticipated earnings?

          Once you thoroughly understand dimensional analysis, you can do problems such as
this one without the need to write out each step individually, as shown below.
3 boxes \times \frac{30 \text{ rolls}}{1 \text{ box}} \times \frac{25 \text{ nickels}}{1 \text{ roll}} \times \frac{1 \text{ dollar}}{20 \text{ nickels}} = 3 \times 30 \times 25 \div 20 = 112.50 \text{ dollars}
c. Use dimensional analysis to solve the following problem. Show your process and how
you cancel the units.
A farmer planted 75 acres of wheat. He expects to harvest 35 bushels per acre and, for
each three bushels, he hopes to be paid $20. What are his total anticipated earnings?

Once you thoroughly understand dimensional analysis, you can do problems such as
this one without the need to write out each step individually, as shown below.
3 boxes ×(30 rolls)/(1 box) ×(25 nickels)/(1 roll) ×(1 dollar)/(20 nickels) = 3 ×30 ×25 ÷20 = 112.50 dollars
c. Use dimensional analysis to solve the following problem. Show your process and how
you cancel the units.
A farmer planted 75 acres of wheat. He expects to harvest 35 bushels per acre and, for
each three bushels, he hopes to be paid 20. What are his total anticipated earnings?

Added by Thomas R.

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