Answer:
Number of necklaces = 8
Number of bracelets = 20
Step-by-step explanation:
Given that:
Mellisa is making and selling the necklaces and bracelets.
Number of pieces of jewelry made on one day = 28
Number of bracelets was 4 more than the twice the number of necklaces.
To find:
Number of each type of jewelry made = ?
Solution:
Let number of bracelets = [tex]b[/tex]
Let number of necklaces = [tex]n[/tex]
As per question statement:
[tex]b+n=28[/tex] ...... (1)
[tex]b = 2n+4[/tex] ...... (2)
Putting the value of [tex]b[/tex] in equation (1):
[tex]2n+4+n=28\\\Rightarrow 3n = 28-4\\\Rightarrow 3n = 24\\\Rightarrow n =\bold{8}[/tex]
By equation (1):
[tex]b + 8 =28\\\Rightarrow b = \bold{20}[/tex]
So, the answer is:
Number of necklaces = 8
Number of bracelets = 20
