A juice shop needed 360 oranges to make 40 L of fresh-squeezed juice. How many oranges would be needed to make 60 L of fresh-squeezed juice?

A.380 oranges

B.400 oranges

C.460 oranges

D.540 oranges

D. 540 oranges

Step-by-step explanation:

360/40 = 9, the number of oranges per liter.

To find what is needed for 60, multiply 60×9=540

answer: 20

step-by-step explanation:

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