Lily sold 18 items at the street fair. She sold bracelets for $6 each and necklaces for $5 each for a total of $101. Which system of equations can be used to find b, the number of bracelets she sold, and n, the number of necklaces she sold?

Respuesta :

I had the same question. But here is the answer:
b + n = 18
6b + 5n = 101

Answer:

[tex]n+b=18[/tex]   and   [tex]6b+5n=101[/tex]


Step-by-step explanation:

Two 2 system of equations are the ones about:

  • Total number of items sold
  • Total price of items sold

Total number of items sold:

Lily sold 18 items.

Since [tex]b[/tex] is the number of bracelets and [tex]n[/tex] is the number of necklaces, we can write:

[tex]b+n=18[/tex]


Total price of items sold:

Bracelets are $6 each and Lily sold [tex]b[/tex] of them. So total is [tex]6b[/tex] for bracelets.

Necklaces are $5 each and Lily sold [tex]n[/tex] of them. So total is [tex]5n[/tex] for necklaces.

In total she sold all of them for $101, so we can write:  [tex]6b+5n=101[/tex]


The system of equations, thus, are:

[tex]n+b=18[/tex] ,   and

[tex]6b+5n=101[/tex]