The cost of 7 yards of fabric is 71.26. Find the price of one yard.
The correct answer and explanation is:
To find the price of one yard of fabric, divide the total cost by the number of yards.
Given:
- Total cost of 7 yards of fabric = 71.26
- Number of yards = 7
The formula to calculate the price per yard is: Price per yard=Total costNumber of yards=71.267\text{Price per yard} = \frac{\text{Total cost}}{\text{Number of yards}} = \frac{71.26}{7} Price per yard=10.18\text{Price per yard} = 10.18
So, the price of one yard of fabric is 10.18.
Explanation:
This is a simple division problem where you are distributing the total cost equally among the 7 yards. The process involves dividing the total cost by the quantity of fabric to find the unit price. In this case, each yard of fabric costs 10.18. By dividing the total amount by the number of units (yards), you get the cost per unit, which is helpful for understanding pricing on a per-unit basis.
Unit pricing is a common method used in shopping to compare the price of different quantities of the same item. For example, if you wanted to buy a larger quantity, you could use this same method to determine how much you would pay per yard for any amount. This approach is useful for budgeting and cost analysis, especially when making bulk purchases.