Miguel’s car has a 20-gallon capacity, and Christina’s car has a 16-gallon capacity. Miguel uses 1.5 gallons of gas per week, and Christina uses 1 gallon of gas per week. When will Miguel and Christina have the same amount of gas in their tanks?

Answer 1

To determine when Miguel and Christina will have the same amount of gas in their tanks, we need to find the number of weeks it takes for the amount of gas used by each person to be the same.

Let's represent the number of weeks as "w".

Therefore, Miguel will use 1.5 * w gallons of gas in "w" weeks, and Christina will use 1 * w gallons of gas in "w" weeks.

Also, Miguel's car can hold a maximum of 20 gallons, and Christina's car can hold a maximum of 16 gallons.

Hence, the equation to solve is:

1.5w = 20 - 1w.

Combining the "w" terms:
2.5w = 20.

Dividing both sides by 2.5:
w = 20 / 2.5.

Therefore,
w = 8.

So, after 8 weeks, Miguel and Christina will have the same amount of gas in their tanks.