Ingrid mixes 3.6 pounds of almonds with some raisins to make a trail mix. She divides the trail mix into 12 equal portions. Each portion weighs 0.7 of a pound. How many pounds of raisins did she use to make the trail mix? Express the answer to the nearest tenth.

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft