The smith family went out to dinner the price iod the meal was 29.85 the sales tax was 6% of the price of the meal the tip was 15% of the meal how much was the meal

The amount is $36.12

Step-by-step explanation:

To find the cost of the meal, find the tax and tip. You can find each by multiplying the amount of the meal by the percentages.

$29.85 * 6% = 1.79

$29.85 * 15% = 4.48

Now we can add all three together.

29.85 + 1.79 + 4.48 = 36.12

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