Question

Sherri has 23 pieces of jewelry to sell. She sells the bracelets for $2 and the necklaces for $3, and earns a total of $55. If the bracelets are represented by x and the necklaces are represented by y, which of the following systems of equations can be used to calculate the number of bracelets and necklaces sold?

Answer 1

x + y = 23
2x + 3y = 55

Answer 2

The system of equations that can be used to calculate the number of bracelets and necklaces sold are:

x+y=23

and 2x+3y=55

Explanation:

Let the bracelets are represented by x and the necklaces are represented by y.

Now it is given that:

• Sherri has 23 pieces of jewelry to sell.

This implies that the equation that can be formed using this information is:

x+y=23------(1)

• She sells the bracelets for $2 and the necklaces for $3, and earns a total of $55.

Hence, the equation formed by using this information is:

2x+3y=55--------(2)