Question

In the equation a and b represent the price per night for a room in hotel a and hotel b respectively w week s

Answer 1

A = $80

Explanation:

A = 240 - 20w

B = 320 - 30w

Equate both equations

240 - 20w = 320 - 30w

Collect like terms

240 - 320 = -30w + 20w

-80 = -10w

Divide both sides by -10

w = -80/-10

w = 8

Substitute w into equation A

A = 240 - 20w

= 240 - 20(8)

= 240 - 160

= 80

A = $80