A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $27. Option B is a commission rate of 8% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?

you can't solve x because it is 2 linear equation and you only have one equation

idk

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4