If 5 apples cost $1.15, find the cost of 16 apples
The correct answer and explanation is:
To find the cost of 16 apples, we need to use the given information that 5 apples cost $1.15. The approach is to first determine the cost of one apple and then multiply that by 16.
- Cost of one apple:
To find the price of one apple, divide the total cost of 5 apples by 5. Cost of one apple=1.155=0.23\text{Cost of one apple} = \frac{1.15}{5} = 0.23 So, each apple costs $0.23. - Cost of 16 apples:
Now, to find the total cost for 16 apples, multiply the cost of one apple by 16. Cost of 16 apples=0.23×16=3.68\text{Cost of 16 apples} = 0.23 \times 16 = 3.68 Therefore, the cost of 16 apples is $3.68.
Explanation:
This problem is based on the concept of proportionality, where the cost of apples increases proportionally with the number of apples. The key to solving such problems is breaking down the total cost into smaller units (in this case, the cost per apple) and then scaling it up for the desired number of apples. When given a unit price (cost per apple), you can easily compute the cost for any quantity by multiplying the unit price by the quantity.
In real-world scenarios, this type of calculation is useful when shopping, especially when you want to compare prices for different quantities or different items. By determining the price of individual units, you can more effectively manage your budget.