Question

Let w be the amount Juan earned walking dogs then (2w-6) is the amount Juan earned mowing lawns the total amount Juan earned is w +(2w-6) or w-6 Emma wrote the expression 2(3w-6) to represent the amount of the money that Juan spent is she correct explain

Answer 1

The expression written by Emma to represent the amount of the money that Juan earned is WRONG.

Explanation:

Here, the amount earned by Juan by walking dogs = w

The amount earned byJuan lowing lawns = (2w - 6)

Now, the total amount earned by Juan

= Amount earned from (Mowing Lawn + Walking dogs)

= w + (2 w - 6)

On further simplification, we get:

w + (2 w - 6) = w + 2w - 6 = 3w-6 = 3(w-2)

So, the total amount earned by Juan = 3(w-2)

Now, the expression written by Emma = 2(3w-6)

and 2(3w-6) ≠ 3(w-2)

Hence, the expression written by Emma to represent the amount of the money that Juan earned is WRONG.