Leslie creates designer bracelets with gemstones. Her most recent order included a total of 6 bracelets. It takes 12 stones to make one bracelet.

Write and solve an equation that represents how many stones were used for the order.

A. [tex]\(6s = 12; s = 2\)[/tex] stones
B. [tex]\(s + 6 = 12; s = 6\)[/tex] stones
C. [tex]\(s - 6 = 12; s = 18\)[/tex] stones
D. [tex]\(\frac{s}{12} = 6; s = 72\)[/tex] stones



Answer :

Let's break down the problem step-by-step to understand how to solve for the total number of stones used in Leslie's order.

1. Identify the given information:
- Leslie makes 6 bracelets.
- Each bracelet requires 12 stones.

2. Set up the equation:
- We need to find the total number of stones used for all 6 bracelets.
- Let [tex]\( s \)[/tex] represent the total number of stones used.

3. Write an equation that relates the total number of stones to the number of bracelets and the stones per bracelet:
- Since each bracelet requires 12 stones and there are 6 bracelets, the equation can be written as:
[tex]\[ \frac{s}{12} = 6 \][/tex]

4. Solve the equation:
- To find [tex]\( s \)[/tex], multiply both sides of the equation by 12:
[tex]\[ s = 6 \times 12 \][/tex]

5. Calculate the result:
- Multiplying 6 by 12, we get:
[tex]\[ s = 72 \][/tex]

6. Verify the solution:
- If [tex]\( s = 72 \)[/tex], then dividing 72 by 12 gives us:
[tex]\[ \frac{72}{12} = 6 \][/tex]
- This confirms the equation is correct.

Therefore, Leslie used 72 stones for her order. The correct equation and solution are:
[tex]\[ \frac{s}{12}=6 ; s=72 \text{ stones} \][/tex]