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Question:
Sherri has 23 pieces of jewelry to sell. She sells the bracelets for $2 and the necklaces for $3, and earns a total of $55. If the bracelets are represented by x and the necklaces are represented by y, which of the following systems of equations can be used to calculate the number of bracelets and necklaces sold?

Answer choices:
x + y = 23, 3x + 2y = 55
x + y = 55, 3x + 2y = 23
x + y = 23, 2x + 3y = 55
x + y = 55, 2x + 3y = 23,

User Obywan
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1 Answer

5 votes
x+y = 23 and 2x+3y=55; The wording of the answer choices were confusing, but both of these come together to make the correct answer. First, you need x (number of bracelets) + y (number of necklaces) to determine how many of each were sold. Then, you add 2x (cost of each bracelet x bracelets sold) and 3y (same as bracelets but for necklaces). This results in the total amount sold.
User Chespinoza
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8.6k points
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