Sierra owns a gourmet popcorn shop. Each day, she sells bags of regular popcorn and flavored popcorn. She charges $1.63 for each bag of regular popcorn and $3.53 for each bag of flavored popcorn. On average, Sierra makes $158.55 more each day from regular popcorn sales than from flavored popcorn sales, and she sells 25 more bags of regular popcorn than flavored popcorn.
Create a system of equations to model the situation above and use it to determine if the solution of the system is viable.
A.
Sierra cannot sell a negative number of bags of regular popcorn; therefore, the solution is not viable for the given situation.
B.
Sierra cannot sell a negative number of bags of regular popcorn or sell a negative number of bags of flavored popcorn; therefore, the solution is not viable for the given situation.
C.
Sierra cannot sell a negative number of bags of flavored popcorn; therefore, the solution is not viable for the given situation.
D.
There is not enough information to determine whether the solution of the system is viable.