Question

At the pizza party you and two friends decide to go to Mexico City from El Paso, TX where y'all live. You volunteer your car if everyone chips in for gas. Someone asks how much the gas will cost per person on a round trip. Your first step is to call your smarter brother to see if he'll figure it out for you. Naturally he's too busy to bother, but he does tell you that it is 2015 km to Mexico City, there's 11 cents to the peso, and gas costs 5.8 pesos per liter in Mexico. You know your car gets 21 miles to the gallon, but we still don't have a clue as to how much the trip is going to cost (in dollars) each person in gas ($/person).

Answer 1

cost_cost = $ 96

Step-by-step explanation:

In this exercise we have units in the groin system and the SI system, to avoid problems let's reduce everything to the SI system

performance = 21 miles / gallon (1,609 km / 1 mile) (1 gallon / 3,785 l)

perfomance= 8,927 km / l

now let's use a direct rule of proportions (rule of three). If a liter travels 8,927 km, how many liters are needed to travel the 2015 km

#_gasoline = 2015 km (1l / 8.927 km) = 225.72 liters

Now let's find the total cost of fuel. Ns indicates that $ 0.11 = 1 peso and the liter of fuel costs 5.8 pesos

cost_litre = 5.8 peso ($ 0.11 / 1 peso) = $ 0.638

cost_gasoline = #_gasoline cost_litro

cost_gasoline = 225.72 0.638

cost_gasoline = $ 144

This cost is for the one way trip, the total round trip cost is

cost_total = 2 cost_gasoline

cost_total = $ 288

Now let's look for the cost in the vehicle, you and two people will go, for which a total of 3 people will go, so the cost per person is

cost_person = total_cost / #_people

cost_person = 288/3

cost_cost = $ 96