A family has two cars. The first car has a fuel efficiency of miles per gallon of gas and the second has a fuel efficiency of miles per gallon of gas. During one particular week, the two cars went a combined total of miles, for a total gas consumption of gallons. How many gallons were consumed by each of the two cars that week

The gallons of gas consumed by the first car is 35 and the second car is 30.

Step-by-step explanation:

There are some data missing in the question, so below is the question with complete data:

Now, to find the gallons consumed by each cars that week.

Let the gallons consumed by first car be

And let the gallons consumed by second car be

So, total gallons consumed by both cars:

Now, the combined total miles both cars went:

Substituting the value of from equation (1):

Subtracting both sides by 1625 we get:

Dividing both sides by 15 we get:

The gallons consumed by first car = 35.

Now, to get the gallons consumed by second car by substituting the value of in equation (1):

The gallons consumed by second car = 30.

Hence, the gallons of gas consumed by the first car is 35 and the second car is 30.

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