You bought 1/2 lb of nuts and a box of raisins that costs $4.49. The total cost was $7.13. How much do the nuts cost per pound?

ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

AAS congruence theorem: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Consider two triangles ΔABC and ΔA'B'C' . If AB=A'B', m∠A=m∠A' and m∠B=m∠B', then two triangles ΔABC and ΔA'B'C' are congruent by ASA theorem. 
 Now find ∠C and ∠C': 
 and . 
You have AB=A'B', m∠A=m∠A' , m∠C=m∠C' and that is the condition of AAS congruence theorem. These thoughts show you that AAS theorem is straight extension of ASA theorem.