Solving Physics Conversion Homework Problem

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SUMMARY

The discussion revolves around a physics conversion problem involving currency and area measurements. The clothing maker from New York mistakenly accepts a price of 400 tepizes/m² for 500 m² of cloth, leading to a calculated loss of $32,756.52. The calculations provided include conversions from tepizes to dollars and from square meters to square yards, but the user encounters an error due to the incorrect notation "ea" in their formula. The correct approach involves ensuring proper unit conversions and accurate arithmetic operations.

PREREQUISITES
  • Understanding of unit conversions between currencies and area measurements
  • Familiarity with basic arithmetic operations in algebra
  • Knowledge of dimensional analysis for converting between metric and imperial units
  • Ability to interpret and manipulate equations in physics problems
NEXT STEPS
  • Review the principles of dimensional analysis in physics
  • Practice converting between different units of measurement, specifically between metric and imperial systems
  • Learn about common mistakes in unit conversions and how to avoid them
  • Explore algebraic manipulation techniques for solving equations accurately
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those tackling problems involving unit conversions and real-world applications of mathematics. It is also useful for educators looking to clarify common pitfalls in physics homework assignments.

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Homework Statement


The inhabitants of a small island begin exporting beautiful cloth made from a rare plant that grows only on their island. Seeing how popular the small quantity that they export has been, they steadily raise their prices. A clothing maker from New York, thinking that he can save money by "cutting out the middleman," decides to travel to the small island and buy the cloth himself. Ignorant of the local custom of offering strangers outrageous prices and then negotiating down, the clothing maker accepts (much to everyone's surprise) the initial price of 400 tepizes/m^2. The price of this cloth in New York is 120 dollars/yd^2 If the clothing maker bought 500 m^2 of this fabric, how much money did he lose? Use 1 tepiz = .625 dollars and .9144 m = 1 yard.


Homework Equations





The Attempt at a Solution


500ea*400 temizes/m^2*0.625 dollars/tepiz*(0.9144m/1 yard)^2
=$104515.92

500 m^2*(1 yard/.91144m)^2*120=$71759.40

loss=$104515.92-$71759.40=$32756.52

it says its wrong. what am i doing wrong?
 
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magma_saber said:
500ea*400 temizes/m^2*0.625 dollars/tepiz*(0.9144m/1 yard)^2
=$104515.92
Where are you getting the "ea" at the beginning from?
 

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