I Need help QUICK plz help me Russ and Vickie are trying to solve this problem: There are 114 students taking buses to the museum. If each bus holds 28 students, how many buses will they need?

Vickie says the students need 4 buses. Russ says they need 5 buses. Who is correct?

they will need ? buses
so who is correct?

fdvs

step-by-step explanation: vsfdvsfvd

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