Question

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos.

(a) On that date, how many dollars was 150.68 pesos worth? Round your answer to the nearest hundredth of a dollar. dollars

(b) On that date, how many pesos was 98.27 dollars worth? >Round your answer to the nearest hundredth of a peso. 0 pesos​

Answer 1

(a) 7.68 dollars

(b) 1927.07 pesos

Explanation:

Setting up a conversion factor will be helpful in helping us solve this problem. A conversion factor shows the relationship between two different units, and and is used to convert from one unit to the other.

Our conversion factor is 1 U.S. Dollar = 19.61 Mexican pesos. To convert units, we can turn the conversion factor into a ratio (U.S. dollar ÷ 19.61 Mexican pesos or vice versa) and then multiply the given amount by the ratio. The unit that we want to end up with should always be in the numerator, and the unit we want to convert from should always cancel out in the denominator. This will be demonstrated when we solve the problems below:

(a) We want to convert from pesos to dollars, so we will multiply by the conversion factor (1 dollar / 19.61 pesos).

• 150.68 pesos (1 dollar / 19.61 pesos) = 7.68 dollars

(b) Now we want to convert from dollars to pesos, so we will multiply by the conversion factor (19.61 pesos / 1 dollar).

• 98.27 dollars (19.61 pesos / 1 dollar) = 1927.07 pesos