Q. 2.100 - An Introduction to General, Organic, and Biological Chemistry

Question

In Mexico, avocados are $48$ pesos per kilogram. What is the cost, in cents. of an avocado that weighs $0,45 lb$ if the exchange rate is $18$ pesos to the dollar? (2.6)

Step-by-Step Solution

Answer

The cost of avacado if exchange rate is $18 pesos$ to the dollar is determined as $76 cents$

Introduction

The given is the price of Avacado in Mexico per kilogram

The objective is to find the cost of avocado if exchange to the dollars 

Step 1

Avocados cost 48 pesos per kilogramme in Mexico.

We must first convert the rate from pesos to dollars in this case -

- is the equality declaration.

$1 dollar =13.0 pesos$

For $48$ pesos -

$48 pesos\times \frac{1 dollar}{ 13.0 pesos}=3.69$ dollar

As a result, avocados cost $\$3.69$ per kilogram in Mexico.

Now we must convert kilograms to pounds -

Step 2

The equality statement is -

$1 \mathrm{kg}=2.20\mathrm{lb}$

For $3.69$ dollars per kilogram -

$$\begin{gathered} \frac{3.69 dollars}{kg} \times \frac{1 kg}{2.20 lb} \\ =1.68 dollars /lb \end{gathered}$$

The weight of an avocado is $0.45\mathrm{lb}$.

In cents, the cost is calculated as -

$weight \times rate = \cos t in cents$

$0.45\times 1.68=\$0.76$

Hence, the cost of an avocado is $76$ cents