The smith is generate one and a half times as much as their neighbors, the joneses. together, the two households produce 15 bags of trash each month. how much trash does each household generate ?

Step-by-step explanation:

We know that

To solve this problem, we need to transform each statement in a equation.

Where represents the Smith, and represents the Joneses.

This expressions expresses the one and a half difference between the two families.

If both families produce 15 bags of trash, the equation would be

Now, we replace the first equation into the second one and solve for

Then, we replace this value into one equation to find the other variable

Therefore, the Smith generates 6 bags of trash per month, and the Joneses generates 6 bags of trash per month.