https://r2.erweima.ai/mathbot/image/1725650584710lnop6nwf.jpg

The question in the image is:

"**Juan tiene un coche que consume 6 litros de gasolina para recorrer 90 kilómetros. Si planea hacer un viaje de 150 kilómetros, ¿cuántos litros de gasolina necesitará?**"

### Solution:

We can solve this using a simple proportion. Juan's car consumes 6 liters of gasoline for every 90 kilometers, and we want to find how many liters $ x $ will be needed for a trip of 150 kilometers.

The proportion is set up as:

\[
\frac{6 \text{ liters}}{90 \text{ km}} = \frac{x \text{ liters}}{150 \text{ km}}
\]

Now, solve for $ x $:

\[
x = \frac{6 \times 150}{90}
\]

Let's calculate:

\[
x = \frac{900}{90} = 10 \text{ liters}
\]

### Answer:
Juan will need **10 liters** of gasoline for the 150-kilometer trip.

Would you like more details or have any questions? Here are some related questions for further practice:

1. If Juan's car consumes 7 liters of gasoline for every 100 kilometers, how much gasoline is needed for 200 kilometers?
2. If the car's fuel efficiency decreases and it consumes 8 liters for 90 kilometers, how many liters are needed for 150 kilometers?
3. How many kilometers can Juan drive with 15 liters of gasoline if the car consumes 6 liters for 90 kilometers?
4. If gasoline costs $1.50 per liter, how much will Juan spend on gasoline for a 150-kilometer trip?
5. If Juan plans a 300-kilometer trip, how much gasoline will be required based on the original consumption rate?

**Tip:** Always set up a proportion for these types of fuel efficiency problems.

Juan tiene un coche que consume 6 litros de gasolina para recorrer 90 kilómetros. Si planea hacer un viaje de 150 kilómetros, ¿cuántos litros de gasolina necesitará?

Learn how to calculate fuel consumption for a 150-kilometer trip when a car uses 6 liters of gasoline for 90 kilometers. This simple proportion problem is ideal for students in Grades 6-8.

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