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

`n+b=18` and
`6b+5n=101`

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`