Ashley orders some bracelets online. Each bracelet costs [tex]$\$[/tex]6[tex]$, and she pays a shipping fee of $[/tex]\[tex]$7$[/tex]. Her total order is [tex]$\$[/tex]55[tex]$. Which equation can be used to show how many bracelets Ashley orders?

A. $[/tex]\frac{55}{6}=7x[tex]$

B. $[/tex]6x=55[tex]$

C. $[/tex]6+7x=55[tex]$

D. $[/tex]7+6x=55$



Answer :

Let's break down the problem step-by-step to find the appropriate equation.

1. Determine the given information:
- Each bracelet costs [tex]$6. - There is a one-time shipping fee of $[/tex]7.
- The total amount paid is [tex]$55. 2. Identify the variable: - Let \( x \) be the number of bracelets that Ashley orders. 3. Set up the equation: - The total cost is composed of the cost of the bracelets plus the shipping fee. - The cost for \( x \) bracelets is \( 6x \) (since each bracelet costs $[/tex]6 and there are [tex]\( x \)[/tex] bracelets).
- Adding in the shipping fee, the total cost equation becomes:

[tex]\[ \text{Total cost} = (\text{Cost of each bracelet} \times \text{Number of bracelets}) + \text{Shipping fee} \][/tex]

4. Form the equation:
- When substituted with the given values, the equation is:

[tex]\[ 55 = 6x + 7 \][/tex]

5. Rearrange to match given options:
- Rearrange the equation to isolate all terms on one side:

[tex]\[ 7 + 6x = 55 \][/tex]

So, the equation that correctly represents the situation is:

[tex]\[ \boxed{7 + 6x = 55} \][/tex]

Therefore, the correct answer is D.