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)
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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
