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Ava bought snacks for her team's practice. She bought a bag of oranges for [tex]\[tex]$2.71[/tex] and a 4-pack of juice bottles. The total cost before tax was [tex]\$[/tex]6.75[/tex].

Write and solve an equation which can be used to determine [tex]j[/tex], the cost of each bottle of juice.

Equation: [tex]\square[/tex]

Answer: [tex]j = \square[/tex]



Answer :

GinnyAnswer
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]

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