Afarmer ships oranges in wooden crates. suppose each oranges weighs the same amount. the total weigh of a crate filled with g oranges is 24.5 pounds. write and equation that represent the relationship between the weight of the number of oranges it contains.
24.5= + x

24.5 = gx

Step-by-step explanation:

g is the number of oranges.

x can be the weight of each orange.

24.5 = gx    (g times x)

The number of oranges multiplied by the weight of each orange gives the total weight.

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