Math Problem Statement
3 erasers cost $4.41. Which equation would help determine the cost of 4 erasers? Choose 1 answer: A 4/x = $4.41 3 B 4 $4.41 = x/3 4/3 = $4.41 x D 4/x = 3 $4.41 E None of the above
Solution
To find the cost of 4 erasers based on the price of 3 erasers, you can use the relationship between the number of erasers and their total cost. The ratio of cost to the number of erasers should be the same for both 3 and 4 erasers.
Let's break this down:
- For 3 erasers, the cost is $4.41, so the cost per eraser is .
- For 4 erasers, let the cost be , which means the cost per eraser is .
Since the cost per eraser remains constant, the equation is:
This equation simplifies to:
Which matches option B: .
Thus, the correct answer is B.
Would you like more details or have any questions about this?
Here are 5 related questions to expand on this concept:
- How do you solve for in the equation ?
- What is the cost of one eraser based on the given price of 3 erasers?
- How would the equation change if the price for 5 erasers was given instead of 3?
- Can you derive the formula for the cost of any number of erasers using the information given?
- How does this problem relate to finding unit rates in real-life situations?
Tip: When dealing with proportional relationships, finding the unit rate (cost per single item) can simplify solving for other quantities.
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Math Problem Analysis
Mathematical Concepts
Proportions
Ratios
Basic Algebra
Formulas
Cost per eraser = Total cost / Number of erasers
Proportion: (Cost for 3 erasers / 3) = (Cost for 4 erasers / 4)
Theorems
Proportionality Theorem
Suitable Grade Level
Grades 6-8