Certainly! Let's break this down step by step.
1. Identify Known Values:
- The total cost of all the items Ava bought is \[tex]$6.75.
- The cost of the bag of oranges is \$[/tex]2.71.
- Ava bought a 4-pack of juice bottles (so there are 4 bottles in total).
2. Set Up the Equation:
Let [tex]\( j \)[/tex] represent the cost of one juice bottle. Since there are 4 bottles, the total cost of the juice bottles can be represented as [tex]\( 4j \)[/tex].
3. Formulate the Total Cost Equation:
The total cost is the sum of the cost of the oranges and the cost of the juice bottles. Therefore, the equation reflecting this relationship is:
[tex]\[
\text{cost of oranges} + \text{cost of juice bottles} = \text{total cost}
\][/tex]
Substituting the known values:
[tex]\[
2.71 + 4j = 6.75
\][/tex]
4. Solve for [tex]\( j \)[/tex]:
To isolate [tex]\( j \)[/tex], subtract the cost of the oranges from both sides of the equation:
[tex]\[
4j = 6.75 - 2.71
\][/tex]
5. Calculate the Right-Hand Side:
[tex]\[
4j = 4.04
\][/tex]
6. Divide Both Sides by 4:
[tex]\[
j = \frac{4.04}{4}
\][/tex]
7. Result:
[tex]\[
j = 1.01
\][/tex]
So, the equation that can be used to determine [tex]\( j \)[/tex] is:
[tex]\[
2.71 + 4j = 6.75
\][/tex]
And the cost of each bottle of juice is:
[tex]\[
j = 1.01
\][/tex]
