Math Problem Statement
Solution
Let's go through each of these questions in detail.
Question 3
In question 3, Muthu buys pencils and erasers, with prices given in Malaysian Ringgit (RM). The conditions provided are:
- Each pencil costs RM0.90.
- Each eraser costs RM1.35.
- Let be the number of pencils and the number of erasers.
- The total cost is RM40.50.
We need to set up an equation for this. Since the total cost is the sum of the cost of pencils and erasers: Converting to cents for simplicity (so the equation avoids decimals):
This matches option C: when simplified.
Question 4
This question involves finding the volume of a cuboid with given dimensions in terms of and :
- Length: cm
- Width: cm
- Height: cm
The volume of a cuboid is given by: Substituting the dimensions:
Expanding step-by-step:
- First, expand :
- Now multiply this result by 10:
This matches option C: .
Let me know if you'd like further details on these solutions, or if you have any questions.
Here are five related questions to expand on these concepts:
- How would the equation change in question 3 if the cost per pencil were increased by RM0.10?
- Can we solve for specific values of and in question 3 given additional constraints?
- How would the volume formula change if the height of the cuboid in question 4 were a variable instead of a constant?
- How could we verify the units are correct in the volume formula for question 4?
- What other geometric properties can be calculated using the given dimensions of the cuboid?
Tip: Always convert units consistently when solving word problems, as it can simplify the math and avoid decimal errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Volume Calculation
Formulas
Total cost equation: 0.90x + 1.35y = 40.50 or 90x + 135y = 4050
Volume of a cuboid: V = length × width × height
Theorems
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Suitable Grade Level
Grade 8-10