John went to the store to buy trail mix for a hike. He could buy 3 pounds of packages for $2.49 or 8 pounds of packages for $6.49. Which size package was less expensive? help please!:(​

First what I did was find how much each pound would cost per different package.

So starting off with the 3 pound package. I did 2.49 divided by 3 to find out how much each pound would weigh.

2.49 / 3 = 0 . 83

So each pound in the 3 pounded package would cost $0.83.

Now to see how much the 8 pound package would cost. Just like the 3 pound package I had to find how much each pound would weigh. So I divided 6.49 by 8.

6.49 / 8 = 0.81125

So looking at the results the 3 pound package would be the best option. You are getting more for less.

HOPES THIS HELPS!

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

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