Olivia bought snacks for her team's practice. She bought a bag of apples for $3.19 and a 24-pack of juice bottles. The total cost before tax was $55.51. Which tape diagram could be used to represent the context if xx represents how much each bottle of juice costs?
A
3.19
3.19
3.19
...
x
53.33
3.19x
B
x
x
x
...
3.19
53.33
24x
C
3.19
3.19
3.19
...
x
55.51
3.19x
D
x
x
x
...
3.19
55.51
24x
Answer
Multiple Choice Answers
AA
BB
CC
DD

We know the following information from the problem:

- Olivia bought a bag of apples for $3.19.
- She also bought a 24-pack of juice bottles.
- The total cost before tax was $55.51.
- $ x $ represents the cost of each juice bottle.

To represent this situation with a tape diagram, the total cost can be broken down into two parts:
1. The cost of the apples: $3.19.
2. The cost of the juice bottles: $ 24x $ (because there are 24 juice bottles, each costing $ x $).

Thus, the total cost is the sum of the two:
\[
3.19 + 24x = 55.51.
\]

Now, looking at the options:

- **Option A** shows the total amount as $ 53.33 + 3.19x $, which doesn’t match the given scenario.
- **Option B** correctly shows $ 24x $ for the juice bottles and $3.19 for the apples, with a total of $55.51.
- **Option C** uses $ 3.19x $, which doesn't match the correct breakdown of the problem.
- **Option D** shows the correct total but uses $ 24x $, like option B.

The correct representation of the scenario would be option **B**, where the cost of the juice bottles is $ 24x $, the apples cost $3.19, and the total cost is $55.51.

So, the correct answer is **B**.

---

Would you like more details on this solution or further clarification?

Here are 5 related questions to expand your understanding:
1. How would the equation change if Olivia bought 12 juice bottles instead of 24?
2. How would the total cost change if the price of apples increased to $4.00?
3. What would happen if the price of each juice bottle were $2.00? How would you solve for the total cost?
4. How can you solve for $ x $ if you know the total cost is $55.51?
5. How could you represent this situation with a different diagram?

**Tip:** When solving for the cost of multiple items, always break the total into clear parts representing the cost of individual items.

Olivia bought snacks for her team's practice. She bought a bag of apples for $3.19 and a 24-pack of juice bottles. The total cost before tax was $55.51. Which tape diagram could be used to represent the context if xx represents how much each bottle of juice costs?

Learn how to solve a problem involving the total cost of snacks bought by Olivia, represented with a linear equation. This problem involves algebraic concepts and the equation 3.19 + 24x = 55.51, breaking down the total cost. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation