Nine hundred people who attended a movie were asked whether they enjoyed it. The table shows the results. How many more children were surveyed than adults? Enter a numerical answer only.

184

Step-by-step explanation:

I took the amount of children, 461, and subtracted the amount of adults surveyed.

461 - 277 = 184

a

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