Math Problem Statement

A store charges $6.96 for a case of mineral water.

Each case contains 2 boxes of mineral water. Each box contains 4 bottles of mineral water. What is the cost of each bottle of mineral water

Solution

To determine the cost of each bottle of mineral water, follow these steps:

Step 1: Understand the structure

  1. Each case contains 2 boxes.
  2. Each box contains 4 bottles.
  3. Therefore, each case contains: 2×4=8 bottles.2 \times 4 = 8 \text{ bottles}.

Step 2: Calculate the cost per bottle

The total cost of a case is $6.96. Since there are 8 bottles in a case: Cost per bottle=Total cost of a caseNumber of bottles in a case=6.968.\text{Cost per bottle} = \frac{\text{Total cost of a case}}{\text{Number of bottles in a case}} = \frac{6.96}{8}.

Perform the division: Cost per bottle=0.87dollars.\text{Cost per bottle} = 0.87 \, \text{dollars}.

Final Answer:

Each bottle of mineral water costs $0.87.


Would you like a detailed breakdown of the calculation or any clarifications? 😊

Here are 5 related questions to deepen your understanding:

  1. If a customer buys 3 cases of mineral water, how much would they spend?
  2. How many bottles of mineral water are in 5 cases?
  3. If the cost of a case increases to $8.00, what would be the new cost per bottle?
  4. If a box is sold separately for $3.60, is it more economical to buy a case or a box?
  5. How much would 12 bottles of mineral water cost?

Tip: Always double-check the cost-per-unit when comparing prices to make informed purchases!

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Math Problem Analysis

Mathematical Concepts

Unit Rate Calculation
Division
Multiplication

Formulas

Total items = Number of boxes per case × Number of bottles per box
Cost per item = Total cost ÷ Total items

Theorems

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Suitable Grade Level

Grades 5-7