Andy earns $157.50 for lifeguarding 18 hours. he receives a $.40 raise per hour. alana earns $95 for 10 hours. who will earn the most for lifeguarding 25 hours?

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

answer: 1inch=7days  

12inch=12*7=84days

step-by-step explanation: