Question

You sell braces for two dollars each and necklaces for three dollars each at a local flea market you collect $95 selling a total of 37 jewelry items how many of each type of jewelry did you

Answer 1

By creating and solving a system of equations, we find that 16 bracelets and 21 necklaces were sold. This used the total amount collected and the total number of items sold to determine quantities for each item.

Step-by-step explanation:

To solve this problem, we can set up a system of equations based on the numbers provided. Let's call the number of bracelets you sold b, and the number of necklaces n. According to the question, you have two equations:

1. b + n = 37 (since you sold 37 items in total)
2. 2b + 3n = 95 (since the total amount collected is $95 with bracelets selling for $2 each and necklaces for $3 each)

We can solve these equations using substitution or elimination. Let's use substitution:

1. From (1), we can express b as b = 37 - n.
2. Substitute b in equation (2) with 37 - n: 2(37 - n) + 3n = 95.
3. Simplify and solve for n: 74 - 2n + 3n = 95 → n = 95 - 74 → n = 21.
4. Now solve for b: b = 37 - n → b = 37 - 21 → b = 16.

The final answer is that you sold 16 bracelets and 21 necklaces.

We set up two equations from the given information and used substitution to solve them. This process revealed that you sold 16 bracelets and 21 necklaces.