Question

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

Short answer

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

Step-by-step solution

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.

$1dollar=13.0pesos$

For $48$ pesos -

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

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

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

In cents, the cost is calculated as -

$weight\times rate=\cos tincents$

$0.45\times 1.68=\$0.76$

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