Math Problem Statement

Lillian bought snacks for her team's practice. She bought a bag of apples for $2.95 and a 4-pack of juice bottles. The total cost before tax was $6.48. How much was each bottle of juice?

Solution

The problem reads:

"Lillian bought snacks for her team's practice. She bought a bag of apples for $2.95 and a 4-pack of juice bottles. The total cost before tax was $6.48. How much was each bottle of juice?"

We can set up an equation to solve for the price of each bottle of juice. Let the price of each bottle be xx.

The cost of the apples is $2.95, and the total cost for the juice is 4x4x, where xx is the price per bottle. The total cost for both items is $6.48. So, the equation is:

2.95+4x=6.482.95 + 4x = 6.48

Now, we can solve for xx:

4x=6.482.954x = 6.48 - 2.95 4x=3.534x = 3.53 x=3.534=0.8825x = \frac{3.53}{4} = 0.8825

So, each bottle of juice costs approximately $0.88.

Would you like a detailed explanation or have any further questions?

Here are some related questions to expand on this concept:

  1. What if the cost of the apples was $3.50, how would that affect the price per bottle?
  2. How would the total cost change if she bought 6 juice bottles instead of 4?
  3. If the total cost included a 5% tax, what would the final price be?
  4. What is the difference in cost if each juice bottle was $0.95 instead of $0.88?
  5. How can this equation be set up if the total price included a coupon for $1 off?

Tip: When solving word problems, always identify the known and unknown variables clearly to set up your equation properly.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Cost equation: Total cost = Cost of apples + Cost of juice bottles (4x)

Theorems

Basic arithmetic operations and solving linear equations

Suitable Grade Level

Grades 6-8