Ken’s group at summer camp bowling on Friday morning. It goes with 2 other groups from camp. The 3 groups make up 12 teams with 6 people on each team. How many people from Ken’s summer camp go bowling every Friday?
write the operation and answer

24

Step-by-step explanation:

12 divided by 3 = 4 therefore each camp makes 4 groups

If there are 6 people on each team you then can multiply 6x4 to get the answer of 24

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