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m_a_m_a [10]
2 years ago
9

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 tota

l 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?
Mathematics
1 answer:
Digiron [165]2 years ago
4 0

Answer:

94 boxes of samoas

131 boxes of thin mints

Step-by-step 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

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\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
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\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
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