I've been working on this problem for "hours" and I can't quite figure out how to solve it; can anyone help plzzz? I would appreciate it. :)
Two college students went on spring break to Guadalajara, Mexico. One took the vacation in 2002, while the other went in 2006. Each student had $500 to spend. In 2002, the exchange rate of MXN/USD (Mexican pesos to U.S. dollars) was 9. In 2006, the exchange rate was 11. A hotel room in Guadalajara cost 200 pesos per night in 2002, and 220 pesos in 2006. If each spent five nights in a hotel, which student had more pesos left over? Exactly how many did that student have?
2002:
9 * 500 = 4,500 pesos
5 * 200 = 1,000
4,500 - 1,000 = 3,500 pesos left
2006:
11 * 500 = 5,500 pesos
5 * 220 = 1,100
5,500 - 1,100 = 4,400 pesos left
thx
You're welcome.
To find out which student had more pesos left over, we need to calculate the remaining pesos for each student after deducting the expenses for the hotel.
First, let's calculate the total expenses for each student. Each student spent 5 nights in a hotel, and the cost per night in 2002 was 200 pesos, while in 2006, it was 220 pesos.
For the student who went in 2002:
Total expenses = number of nights * cost per night = 5 * 200 pesos = 1000 pesos.
For the student who went in 2006:
Total expenses = number of nights * cost per night = 5 * 220 pesos = 1100 pesos.
Now let's calculate the initial amount of pesos each student had by converting their US dollars using the exchange rate.
For the student who went in 2002:
Initial amount of pesos = initial dollars * exchange rate = 500 dollars * 9 MXN/USD = 4500 pesos.
For the student who went in 2006:
Initial amount of pesos = initial dollars * exchange rate = 500 dollars * 11 MXN/USD = 5500 pesos.
Finally, we deduct the expenses from the initial amount of pesos to find out how many pesos each student has left over.
For the student who went in 2002:
Remaining pesos = Initial amount of pesos - Total expenses = 4500 pesos - 1000 pesos = 3500 pesos.
For the student who went in 2006:
Remaining pesos = Initial amount of pesos - Total expenses = 5500 pesos - 1100 pesos = 4400 pesos.
Therefore, the student who went in 2006 had more pesos left over. They had 4400 pesos remaining.