Math Problem Statement
Solution
The image contains a problem where Charlie is selling three types of chocolate boxes, each containing different combinations of chocolate bars, represented by symbols (a square, a bowtie, and a triangle). Based on the prices of the boxes and the number of chocolates, we need to calculate how much Charlie should charge for a special edition box containing six bars (2 squares, 2 bowties, and 2 triangles).
Let's break down the problem step by step:
Box Pricing Information:
-
Box 1 (Price: $54) contains:
- 2 squares (green)
- 1 bowtie (orange)
- 1 triangle (blue)
-
Box 2 (Price: $55) contains:
- 1 square (green)
- 1 bowtie (orange)
- 2 triangles (blue)
-
Box 3 (Price: $50) contains:
- 2 squares (green)
- 2 triangles (blue)
Unknowns:
- The price of each individual chocolate (square, bowtie, triangle).
Goal:
Determine the price of a special edition box containing:
- 2 squares (green)
- 2 bowties (orange)
- 2 triangles (blue)
Let's solve for the price of each chocolate bar and calculate the price for the special edition box. I'll compute the solution now.The price of each chocolate bar is as follows:
- Square (green): $12
- Bowtie (orange): $17
- Triangle (blue): $13
For the special edition box containing 2 squares, 2 bowties, and 2 triangles, the total price should be $84.
Would you like more details on the solution, or do you have any questions?
Here are 5 related questions to deepen your understanding:
- How would the price change if the special edition box had 3 triangles instead of 2?
- Can you determine a formula to calculate the price if the number of each chocolate type is varied?
- If Charlie offered a 10% discount on the special edition box, what would the new price be?
- How does the price of each chocolate type compare to the others in percentage terms?
- What would be the price of a box containing only 3 squares and 2 bowties?
Tip: Solving systems of equations helps you determine the values of unknowns based on given relationships, a skill useful in many fields such as economics and physics.
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Math Problem Analysis
Mathematical Concepts
Algebra
Systems of Equations
Linear Equations
Formulas
Solving systems of equations for multiple variables
Theorems
Linear equations
Suitable Grade Level
Grades 9-12
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