Question

suppose a family's two cars produce a combined rate of 60 grams per kilometer. The first car drove 35 kilometers and the second drove 25 kilometers. the two cars produced a combined total of 1700 grams of carbon dioxide pollution. at what rate does each car produce carbon dioxide pollution

Answer 1

The first car produces carbon dioxide at a rate of 25 grams per kilometer, and the second car produces carbon dioxide at a rate of 35 grams per kilometer.

Step-by-step explanation:

To find the rate at which each car produces carbon dioxide pollution, we can set up a system of equations.

Let's assume that the first car produces X grams of carbon dioxide per kilometer and the second car produces Y grams per kilometer.

We know that the combined rate of the two cars is 60 grams per kilometer, so we can set up the equation:

X + Y = 60 -- (Equation 1)

We also know that the first car drove 35 kilometers and the second car drove 25 kilometers, and the total carbon dioxide pollution produced was 1700 grams. So we can set up another equation:

35X + 25Y = 1700 -- (Equation 2)

Now we can solve this system of equations to find the values of X and Y.

By solving the system of equations, we get:

X = 25 grams per kilometer

Y = 35 grams per kilometer

Therefore, the first car produces carbon dioxide pollution at a rate of 25 grams per kilometer, and the second car produces carbon dioxide pollution at a rate of 35 grams per kilometer.