Question

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?

Answer 1

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

Answer 2

Answer:

$n+b=18$   and   $6b+5n=101$

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 $b$ is the number of bracelets and $n$ is the number of necklaces, we can write:

$b+n=18$

Total price of items sold:

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

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

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

The system of equations, thus, are:

$n+b=18$ ,   and

$6b+5n=101$