While in Europe, if you drive 117 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 42.0 mi/gal ? Assume that 1euro=1.26dollars.

Respuesta :

Answer:

Total Cost of Week = 81.20 Euros

Total Cost of Week (in dollars) = $102.31

Step-by-step explanation:

117 km per day

You drive 7 days

So,

Total miles driven = 117 * 7 = 819 km

Mileage is 42 miles per gallon. So how many gallons would it require to drive 819 km?

819/42 = 19.5 gallons

We know 1 gallons = 3.78 liters

So,

19.5 gallons would be:

19.5 * 3.78 = 73.82 liters

1.10 Euro PER LITER, so the total cost:

Total Cost of Week = 73.82 * 1.10 = 81.20 Euros

In dollars (1 euro = 1.26 dollars):

Total Cost of Week (in dollars) = 81.20 * 1.26 = $102.31

The cost on gas is approximately 7.2 euros

Data given;

  • Distance = 117km
  • rate of consumption = 42.0 mi/gal
  • cost of gas = 1.10 euros

Conversion of distance from km to miles

If 1mi = 1.609km

And we cover 117km daily, let's convert this into miles

[tex]1mi=1.62km\\ x mi = 117km\\ x = 117/1.62\\ x = 72.2mi[/tex]

This shows that we cover a distance of 72.2 miles daily.

But the car consumes 1 gallon in 42 miles, let's calculate the gas required to cover 72.2 miles

[tex]42mi = 1g\\ 72.2mi =x\\ x = 72.2/42\\ x = 1.719[/tex]

The total gas consumed daily is approximately 1.72 gallons.

Cost of gas daily

The cost of gas daily can be calculated from the data given but we have to convert the volume from gallon to liter

Gallon - Liter

1L = 0.26 gallon

xL = 1.72 gallons

cross multiply this and solve for x

[tex]x = \frac{1*1.72}{0.26}\\ x = 6.6[/tex]

This shows that we consume 6.6L daily.

But we were given that the cost of 1 liter of gas is equal to 1.10 euros

1L = 1.10 euros

6.6L = x euros

[tex]x = \frac{1.1*6.6}{1}\\ x = 7.26[/tex]

The cost of gas daily is 7.26 euros or approximately 7.2 euros.

learn more about rate here;

https://brainly.com/question/11408596

Q&A Education