On the first day of a family road trip, Tamara's family travels 540 miles. On the third day, they travel 15% farther.
How many miles does Tamara's family travel on the third day?

621 miles on the third day

to find 15% of 540 multiply 540 by .15

540 x .15 = 81

Add 81 to 540

540 + 81 = 621

answer is 12345678900987654321234567890987654321

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