Question

Alaina needs to sell 225 boxes in order to be the top seller. She sells thin mints and samoas to all of her customers for a total of $628.00 in sales. The thin mints sell for $3.00 each and the samoas sell for $2.50 each. Which system of equations below could be used to find how many boxes of thin mints and samoas were sold?

Answer 1

94 boxes of samoas

131 boxes of thin mints

Explanation:

m=mints

s=samoas

s+m=225 m=225-s

s(2.5)+m(3)=628

2.5s+3m=628

substitute for m

2.5s+3(225-s)=628

2.5s+675-3s=628

reduce

-0.5s=-47

s=94

m=131