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Chapter 1: Problem 51

You are in Paris, and you want to buy some peaches for lunch. The sign in the fruit stand indicates that peaches cost \(2.45\) euros per kilogram. Given that 1 euro is equivalent to approximately \(\$ 1.46\), calculate what a pound of peaches will cost in dollars.

Short Answer

Expert verified
The price of one pound of peaches in dollars is approximately $1.623.

Step by step solution

01

Convert price from euros to dollars

To convert the price of peaches from euros to dollars, we can use the given exchange rate, 1 euro = $1.46. We simply multiply the price in euros by the exchange rate. Price in euros = 2.45 euros/kg Exchange rate = 1 euro = $1.46 Price in dollars = 2.45 euros/kg × $1.46 = \(2.45 × 1.46\) dollars/kg
02

Convert weight from kilograms to pounds

To convert the weight from kilograms to pounds, we use the following conversion factor: 1 kg = 2.20462 lbs Before performing the conversion, we first need to calculate the result from step 1: Price in dollars = \(2.45 × 1.46\) dollars/kg = $3.577 dollars/kg Now we divide the price in dollars by the conversion factor to find the price per pound: Price in pounds = \(\frac{3.577}{2.20462}\)dollars/lb
03

Calculate the price per pound

Now we calculate the result of the division in step 2: Price per pound = \(\frac{3.577}{2.20462}\)dollars/lb ≈ $1.623 dollars/lb The price of one pound of peaches in dollars is approximately $1.623.

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