A theater is presenting a program on drinking and driving for students and their parents or other responsible adults. The proceeds will be donated to a local alcohol information center. Admission is $10 for adults and $5 for students.​ However, this situation has two​ constraints: The theater can hold no more than 180 people and for every two​ adults, there must be at least one student. How many adults and students should attend to raise the maximum amount of​ money?

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

ratio is 2 : 9

the answer is three

13.5 : 3

4

step-by-step explanation:

55 because 55 + 55 = 110 good luck babe