Question

You and two friends decide to go to Mexico City from El Paso. Your friend volunteers his car if everyone chips in for gas. It is 1835 km from El Paso to Mexico City. Gas costs 13.23 pesos per liter in Mexico. It is 16.75 pesos to $1 US. Your friend's car gets 28 miles to the gallon. (1 mile = 1.609 km and 1 gallon = 3.78 liters). How much in US $ would it cost each person in gas to make the round trip?

Answer 1

Answer:

$81.07

Step-by-step explanation:

Step 1

It is 1835 km from El Paso to Mexico City.

We are told it is a round trip. This means the distance is multiplied by 2

= 1835km × 2

= 3670km

Step 2

We convert the distance min kilometers from km to miles

1.609 km = 1 mile

3670km =

Cross Multiply

= 3670km × 1 mile/1.609km

= 2280.919826 miles

Step 3

Your friend's car gets 28 miles to the gallon.

28 miles = 1 gallon of gas

2280.919826 miles =

Cross Multiply

2280.919826 miles × 1 gallon of gas/28 miles

= 81.4614223571 gallons.

Step 4

1 gallon = 3.78 liters

81.4614223571 gallons=

81.4614223571 gallons × 3.78

= 307.92417651 liters

Step 5

Gas costs 13.23 pesos per liter in Mexico.

1 liter = 13.23 pesos

307.92417651 liters =

Cross Multiply

307.92417651 liters × 13.23 pesos

= 4073.83685523 pesos.

Step 6

It is 16.75 pesos to $1 US.

16.75 = $1

4073.83685523 pesos =

4073.83685523 pesos × $1/16.75

= $243.214140611

Step 7

There are 3 friends

How much in US $ would it cost each person in gas to make the round trip?

= $243.214140611/3

= $81.0713802036

≈ $81.07

Therefore, it would cost each person $81.07 in gas to make the round trip.