Leonardo had ＄12 spend on candy. if each candy costs ＄0.06, how many candies can he buy?
The Correct Answer and Explanation is:
Correct Answer:
Leonardo can buy 200 candies.
Explanation:
To determine how many candies Leonardo can buy, follow these steps:
Step 1: Understand the problem.
- Leonardo has $12 to spend.
- Each candy costs $0.06.
- We need to find how many candies he can purchase by dividing his total money by the cost of one candy.
Step 2: Perform the calculation.
The formula for the number of candies is:
[
\text{Number of candies} = \frac{\text{Total money}}{\text{Cost per candy}}
]
Substitute the values:
[
\text{Number of candies} = \frac{12}{0.06}
]
To simplify this division:
- Multiply both the numerator and denominator by 100 to eliminate the decimal in the denominator:
[
\frac{12}{0.06} = \frac{1200}{6}
] - Perform the division:
[
1200 \div 6 = 200
]
Thus, Leonardo can buy 200 candies.
Step 3: Check the result.
- The cost of 1 candy is $0.06.
- If Leonardo buys 200 candies, the total cost is:
[
200 \times 0.06 = 12
]
This matches the amount of money he has, confirming the calculation is correct.
Key Concepts in the Problem:
- Division: Dividing the total amount by the cost per item gives the quantity.
- Decimal Operations: Converting decimals to whole numbers by multiplying by powers of 10 can simplify calculations.
- Practical Application: Understanding unit prices and how to calculate quantities is essential for everyday financial decision-making.
In conclusion, Leonardo can purchase 200 candies with his $12, and the process illustrates how division is used in real-world scenarios to manage budgets and expenditures.