Question

One unit of a peso in a Latin American country was defined as equivalent to 12 grains of "fine" (pure) gold, while one unit of its neighboring countries currency, a dollar, was defined as equivalent to 18 grains of "fine" (pure) gold. Using the gold par value concept (with 480 grains in an ounce), the exchange rate for converting the peso to the dollar is:

Answer 1

1 dollar = 1.5 peso

Step-by-step explanation:

An exchange rate denotes the value of one currency in terms of another currency. Exchange rates can be of two kinds, spot rate and forward rate.

Spot rate is the rate quoted by bank for buying or selling foreign currency as on today.

Forward exchange rate on the other hand represents rate quoted by bank today for buying and selling foreign currency on a future date.

Given : 1 unit of peso = 12 grains of gold

1 unit of US Dollar = 18 gains of gold

To find : 1 peso = ___ dollars

1 grain of gold =
`(1)/(12)` peso

similarly, 1 grain of gold =
`(1)/(18)` dollars

this means,
`(1)/(12)\ peso\ = \ (1)/(18)\ dollars`

it means 1 peso =
`(12)/(18) \ dollars`

or 1 peso =
`(2)/(3) \ dollars`

or 1 dollar = 1.5 pesos