Your school is planning a fundraiser dinner. The expense for this event must not exceed $2,475. The team organizing the event has calculated that the cost per adult guest will be $18 and the cost per child guest will be $9. The venue can hold no more than 150. 18x+9y=2475

Using a graph, determine the maximum number of adults that can attend of the venue is filled to capacity. Round your answer to the nearest whole number.

x + 4/7

step-by-step explanation:

use cymath

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