Eggs sell for $1.09 per dozen at the local supermarket. if the supermarket pays $8.00 dollars her case that consist of 12 dozen cartons, how much profit does the supermarket make her case?

a. $4.27
b. $5.08
c. $5.80
d. $8.00

explain this question?

B. $5.08

Step-by-step explanation:

First find out how much the supermarket pays per dozen of eggs.

$8.00 / 12 dozen cartons per case = $0.66666

It costs the supermarket approximately $0.67 per dozen

Next find out the profit per dozen of eggs sold

$1.09 store price - $0.67 price store pays = $0.42

The supermarket profits about $0.42 per dozen sold

Finally find out the profit per case of eggs

12 dozen cartons * $0.42 profit per carton = $5.04

The supermarket makes about $5.04 per case so the best answer of the choices would be B. $5.08.

d

step-by-step explanation:

the solution is in the picture

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