A store has apples on sale for$3.00 for 2 pounds. How many pounds of apples can you buy for $9? If an apple is approximately 5 ounces, how many apples can you buy for $9? Explain both questions
The Correct Answer and Explanation is :
Answer
- How many pounds of apples can you buy for $9?
- Apples cost $3.00 for 2 pounds. This means the cost per pound is:
[
\text{Cost per pound} = \frac{3}{2} = 1.50 \, \text{dollars per pound.}
]
For $9, the number of pounds you can buy is:
[
\text{Pounds} = \frac{9}{1.50} = 6 \, \text{pounds.}
]
- How many apples can you buy for $9 if one apple weighs approximately 5 ounces?
- There are 16 ounces in a pound. Therefore, 1 pound contains:
[
\frac{16}{5} = 3.2 \, \text{apples per pound.}
]
If you can buy 6 pounds of apples for $9, the total number of apples is:
[
6 \times 3.2 = 19.2 \, \text{apples.}
]
Since you can’t buy a fraction of an apple, you can purchase 19 apples.
Explanation (300 Words)
To solve the problem, we break it into two parts. First, calculate how many pounds of apples $9 can buy. Since the price is $3 for 2 pounds, the cost per pound is $1.50. Dividing $9 by $1.50 gives 6 pounds of apples. This straightforward division ensures accuracy and matches the given price-per-pound rate.
Next, determine how many apples are in 6 pounds. Each pound contains 16 ounces, and each apple weighs approximately 5 ounces. By dividing 16 by 5, we find that each pound contains 3.2 apples. Multiplying this by 6 pounds yields 19.2 apples. Since you can’t buy a fraction of an apple, we round down to 19 apples.
This problem integrates unit conversions (pounds to ounces) and basic arithmetic (division and multiplication). Understanding that $9 buys 6 pounds simplifies the second part because we focus solely on the apple-to-pound ratio.
The final result is 6 pounds or 19 apples for $9. This approach ensures accuracy in both monetary and weight-based calculations, demonstrating the importance of unit conversion and precision when handling real-world scenarios like shopping.