The following table shows the number of U.S. dollars required to buy one Mexican peso and the number of U.S. dollars required to buy one Japanese yen between January 1, 2013, and April 1, 2013. Use this table to answer the questions that follow.

-On February 1,2013,Samantha bought a yoga mat for 250 Mexican pesos in Playa del Carmen,Mexico.Because she only had Japanese yen,she needed to exchange her Japanese yen at a nearby money-exchange kiosk in order to get the 250 Mexican pesos she used for the purchase.The kiosk is able to buy and sell U.S.dollars,Mexican pesos,and Japanese yen at the exchange rates shown in the table.Approximately how much did the yoga mat cost Samantha in terms of Japanese yen?

Question

The following table shows the number of U.S. dollars required to buy one Mexican peso and the number of U.S. dollars required to buy one Japanese yen between January 1, 2013, and April 1, 2013. Use this table to answer the questions that follow.
 
-On February 1,2013,Samantha bought a yoga mat for 250 Mexican pesos in Playa del Carmen,Mexico.Because she only had Japanese yen,she needed to exchange her Japanese yen at a nearby money-exchange kiosk in order to get the 250 Mexican pesos she used for the purchase.The kiosk is able to buy and sell U.S.dollars,Mexican pesos,and Japanese yen at the exchange rates shown in the table.Approximately how much did the yoga mat cost Samantha in terms of Japanese yen?

Quizplus · Accepted Answer

First, we need to find the exchange rate between Japanese yen and Mexican pesos. Looking at the table, we see that on February 1, 2013, it takes 0.052 U.S. dollars to buy one Japanese yen and 0.077 U.S. dollars to buy one Mexican peso.

We can use this information to find the exchange rate between Japanese yen and Mexican pesos:

0.052 US dollars / 1 Japanese yen = x US dollars / 0.077 Mexican pesos

Solving for x, we get:

x = (0.052 US dollars / 1 Japanese yen) * (0.077 Mexican pesos / 1 US dollar)

x = 0.004004 Mexican pesos / 1 Japanese yen

So, Samantha's yoga mat cost 250 Mexican pesos. To find out how much that is in Japanese yen, we can multiply by the exchange rate we just found:

250 Mexican pesos * (1 Japanese yen / 0.004004 Mexican pesos) = 62,344.655 Japanese yen

Rounded to the nearest whole yen, the yoga mat cost Samantha approximately 62,345 Japanese yen, which is answer choice D.

The Following Table Shows the Number of U