Troy has 5/6 ounces of sprinkles to make cupcakes. The recipe uses 1/4 ounce per dozen of cupcakes. Write an expression which can be used to determine how many dozens of cupcakes Troy can make. Help please? :)

Step-by-step explanation:

Per = 1

So, if we were to solve:

Troy can make dozen of cupcakes.

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

$6.42

step-by-step explanation: