Let's solve the problem step-by-step.
### Step-by-Step Solution:
Given:
- Shelley sells 5 bone-shaped treats for [tex]$3.50.
To Find:
- The cost for a package of 12 treats.
Approach:
1. Set up a proportion based on the given information.
2. Let \( x \) represent the cost for 12 treats.
3. Create a proportion that relates the number of treats to their cost.
Since we know that 5 treats cost $[/tex]3.50, we can set up the following proportion to find the cost of 12 treats, [tex]\( x \)[/tex]:
[tex]\[ \frac{5 \text{ treats}}{3.50 \text{ dollars}} = \frac{12 \text{ treats}}{x \text{ dollars}} \][/tex]
### Step-by-Step Calculation:
1. Set up the proportion:
[tex]\[ \frac{5}{3.5} = \frac{12}{x} \][/tex]
2. Cross-multiply to solve for [tex]\( x \)[/tex]:
[tex]\[ 5 \times x = 12 \times 3.5 \][/tex]
[tex]\[ 5x = 42 \][/tex]
3. Isolate [tex]\( x \)[/tex] by dividing both sides by 5:
[tex]\[ x = \frac{42}{5} \][/tex]
[tex]\[ x = 8.4 \][/tex]
### Answer:
Shelley should charge [tex]$8.40 for a package of 12 treats.
### Proportion Needed:
The correct proportion needed to solve this problem is:
\[ \frac{5}{3.5} = \frac{12}{x} \]
We derived this proportion based on the given information and solved for \( x \), which resulted in a total cost of $[/tex]8.40 for a package of 12 treats.
