In the equations, a and b represent the price per night for a room in hotel a and hotel b, respectively, w weeks after september 1 last autumn. what was the price per night in hotel a when it was equal to the price per night in hotel b? a = 240 − 20w b = 320 − 30w

  A = B = 80 . . . per night

Step-by-step explanation:

The value of w that makes the prices equal can be found from ...

  A = B

  240 -20w = 320 -30w

  10w = 80

Substituting this value into the equation for A, we get ...

  A = 240 -2(10w) = 240 -2(80) = 80

We can check that we also get the same value for B:

  B = 320 -3(10w) = 320 -3(80) = 80

Comment on this solution

We could go to the trouble to divide by 10 to find w=8, but then we would need to multiply it by 10 again to get 20w or 30w. We can just use the result as is without the extra steps.

Hello there! :)

*THE ANSWER SHOULD HAVE POSITIVE SIGN!*

Step-by-step explanation:

First, you add by 32 from both sides of an equation.

Add numbers from left/right.

, is the final/correct answer.

Hope this helps!

Have a nice day! :)

-Charlie

Thanks!