Question

Melissa makes and sells necklaces and bracelets. One day she made a total of 28 pieces of jewelry. On this day the number of bracelets crafted was 4 more than twice the number of necklaces.How many of each type of jewlery did she make that day

Answer 1

Number of necklaces = 8

Number of bracelets = 20

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 =
`b`

Let number of necklaces =
`n`

As per question statement:

`b+n=28` ...... (1)

`b = 2n+4` ...... (2)

Putting the value of
`b` in equation (1):

`2n+4+n=28\\\Rightarrow 3n = 28-4\\\Rightarrow 3n = 24\\\Rightarrow n =\bold{8}`

By equation (1):

`b + 8 =28\\\Rightarrow b = \bold{20}`

So, the answer is:

Number of necklaces = 8

Number of bracelets = 20