SOLUTION: need help setting this up. Jerry used to follow the Grateful Dead during their tours of the westcoast. He sold many things to support himself; for example he made and sold tye-d

Question 233501: need help setting this up.
Jerry used to follow the Grateful Dead during their tours of the westcoast. He sold many things to support himself; for example he made and sold tye-dyed shirts, with a clever circling spiral. He would typically sell the shirts individually for $3, and offer two for $5. On one day, he sold 32 more sets of shirts then individual shirts, for a total of $328. How many shirts did Jerry sell?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
He would typically sell the shirts individually for $3, and offer two for $5. On one day, he sold 32 more sets of shirts then individual shirts, for a total of $328. How many shirts did Jerry sell?
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Equations:
Quantity: s = i +32
Value Eq: 5s + 3i = 328 dollars
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Rearrange:
5s - 5i = 5*32
5s + 3i = 328
-----------------
Subtract the Quantity from the Value Eq:
8i = 168
i = 21 (# of individual shirts sold)
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Since s = i + 32, s = 21+32 = 53 (# of sets of shirts sold)
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Cheers,
Stan H.
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