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Chapter 1: Problem 25

In continental Europe, one "pound" is half a kilogram. Which is the better buy: one Paris pound of coffee for $$\$ 9.00$$ or one New York pound of coffee for $$\$ 7.20 ?$$

Short Answer

Expert verified
Given the cost per kilogram calculated, the New York coffee at around $15.86 per kilogram is a better buy than the Paris coffee at $18 per kilogram.

Step by step solution

01

Convert the weights to a common unit

Begin by understanding that a pound in Europe (Paris pound) is half a kilogram, while a pound in New York is typically about 0.454 kilogram. Therefore, convert these weights to a common unit which is kilogram. So we have, 1 Paris pound = 0.5 kg and 1 New York pound = 0.454 kg.
02

Calculate the cost per kilogram for each type of coffee

Determine the cost per kilogram for each type of coffee. This can be done by dividing the price of each pound by its weight in kilogram. For the Paris coffee, this is \(\$9 / 0.5kg\), resulting in a cost per kilogram of \(\$18/kg\). For the New York coffee, this is \(\$7.20 / 0.454kg\), resulting in a cost per kilogram of about \(\$15.86/kg\).
03

Compare the cost per kilogram of Paris coffee with New York coffee

Now that the cost per kilogram for each type of coffee is known, compare the two. Among the options, the coffee with the lowest cost per kilogram will be the better buy.

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