Aserving of cottage cheese is 2/3 cup. vanessa has 7/8 cup of cottage cheese. how many servings does she have?

Vanessa has 21/16 servings.

Step-by-step explanation:

To find this, simply divide the amount in the package by the amount in a serving.

7/8 ÷ 2/3 = 21/16

1 and 1/4 servings

Step-by-step explanation:

A serving is 2/3 (Or 12/18) and she has 14/16

vanessa and 1 serving and 2/18 of a cup left over (which is 1/6 and a serving is 4/6, so she has 1/4 of a serving.

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