Rebecca bought a box of 12 pencils for $3. Which box of pencils below has the same price per pencil as Rebecca's box?
A. A box of 3 pencils for $12
B. A box of 6 pencils for $24
C. A box of 11 pencils for $2
D. A box of 16 pencils for $4
Answer (2)
Calculate the price per pencil for Rebecca's box: 12 $3 = $0.25 .
Calculate the price per pencil for each option: A: 3 $12 = $4 , B: 6 $24 = $4 , C: 11 $2 ≈ $0.18 , D: 16 $4 = $0.25 .
Compare the price per pencil of each option with Rebecca's price.
Option D has the same price per pencil as Rebecca's box: D .
Explanation
Problem Analysis Rebecca bought a box of 12 pencils for $3. We need to find which of the other boxes has the same price per pencil.
Calculate Rebecca's Price Per Pencil First, let's find the price per pencil for Rebecca's box. To do this, we divide the total cost by the number of pencils: 12 pencils $3 = $0.25 per pencil So, each pencil in Rebecca's box costs $0.25.
Calculate Price Per Pencil for Each Option Now, let's calculate the price per pencil for each of the other options and see which one matches $0.25 per pencil.
Option A: A box of 3 pencils for 12. T h e p r i ce p er p e n c i l i s : 3 pencils $12 = $4.00 per pencil $
Option B: A box of 6 pencils for 24. T h e p r i ce p er p e n c i l i s : 6 pencils $24 = $4.00 per pencil $
Option C: A box of 11 pencils for 2. T h e p r i ce p er p e n c i l i s : 11 pencils $2 ≈ $0.18 per pencil $
Option D: A box of 16 pencils for 4. T h e p r i ce p er p e n c i l i s : 16 pencils $4 = $0.25 per pencil $
Compare and Find the Matching Price Comparing the prices, we see that:
Option A costs $4.00 per pencil.
Option B costs $4.00 per pencil.
Option C costs approximately $0.18 per pencil.
Option D costs $0.25 per pencil.
Since Rebecca's pencils cost $0.25 per pencil, Option D has the same price per pencil.
Final Answer Therefore, the box of pencils with the same price per pencil as Rebecca's box is option D: A box of 16 pencils for $4.
Examples
Understanding unit prices helps you make informed decisions while shopping. For example, if you're buying snacks in bulk, calculating the price per item or per ounce allows you to compare different package sizes and choose the most cost-effective option. This skill is useful for budgeting and making sure you get the best value for your money, whether you're buying groceries, office supplies, or anything else.
Option D has the same price per pencil as Rebecca's box, costing $0.25 per pencil. To summarize, Rebecca pays $0.25 per pencil, and only Option D matches this price. So, the correct answer is Option D: A box of 16 pencils for $4.
;
