You sell bracelets for $2 each and necklaces for $3 each at a local flea market. you collect. $95, selling a total of 37 jewelry items. how many of each type of jewelry did you sell?

16 bracelets. 21 necklaces.

Write a system of equation based on the problem
For an instance, b stands for the number of bracelets, n stands for the number of necklaces.
⇒ Total collected money is $95, $2 per bracelet, $3 per necklace
     2b + 3n = 95  (first equation)
⇒ 37 jewelry items have been sold
    b + n = 37

Find the number of necklaces (n) by eliminating the number of bracelets (b) from the equation system
2b + 3n = 95
  b +   n = 37     (multiply by 2)

2b + 3n = 95
2b + 2n = 74
- (substract)
          n = 21

Find the number of bracelets by substituting the value of n to either of the equations
b + n = 37
b + 21 = 37
b = 37 - 21
b = 16

Type of jewelry have been sold: 16 bracelets, 21 necklaces

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