Alex bought some cherries at $5 per pound and some oranges at $2 per pound. if he paid $18 for the cherries and oranges combined, and if the total weight of the cherries and oranges was 6 pounds, how many pounds of cherries did alex buy?
i know i'm supposed to do propotions

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.