5. Rose brought 40 cupcakes for her birthday. She gave a cupcake to all 18
students In Mr. Nussbaum's class, and all 16 students in Mrs. Haley's class.
How many teachers could Rose bring cupcakes to?
Check

6 I think

Step-by-step explanation:

if you add 18 and 16 then you get 36 so she would have 6 left

step- i d k and i d c : )

you: : 0

bye

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