18 The Holcombe family went out to dinner. The meal cost $54.65. The sales tax is 8% of the meal. The tip was 18% of the meal and tax. There are 5 people in the Holcombe family. What was the cost per person for the meal, including sales tax and tip? A $10.93 B $13.77 C $13.93 D $16.77

The answer is C $13.93

Step-by-step explanation:

I calculated it then rounded it your welcome btw

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