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Answer :
- Divide the total cost by the total weight to find the cost per pound.
- Convert the mixed fraction $3\frac{1}{2}$ to the decimal 3.5.
- Calculate the price per pound: $\frac{2.90}{3.5} = 0.82857142857$.
- Round the result to the nearest cent: $\boxed{0.83}$.
### Explanation
1. Problem Analysis
Martha spent $2.90 on 3$\frac{1}{2}$ pounds of bananas. To find the cost per pound, we need to divide the total cost by the total weight. First, let's convert the mixed fraction to a decimal. 3$\frac{1}{2}$ is equal to 3.5.
2. Setting up the Calculation
Now, we will divide the total cost, $2.90, by the total weight, 3.5 pounds, to find the cost per pound.
3. Calculating the Price per Pound
The price per pound is calculated as follows:
$$P = \frac{2.90}{3.5}$$
$$P = 0.82857142857$$
Rounding to the nearest cent (two decimal places), we get $0.83.
4. Final Answer
Therefore, Martha spent $0.83 on each pound of bananas.
### Examples
Understanding the price per pound of items helps in budgeting and making informed purchasing decisions. For example, if you are comparing the price of bananas at two different stores, knowing the price per pound allows you to determine which store offers a better deal. This concept is also useful when buying items in bulk to ensure you are getting the best value for your money. It applies to groceries, materials for projects, and many other everyday purchases.
- Convert the mixed fraction $3\frac{1}{2}$ to the decimal 3.5.
- Calculate the price per pound: $\frac{2.90}{3.5} = 0.82857142857$.
- Round the result to the nearest cent: $\boxed{0.83}$.
### Explanation
1. Problem Analysis
Martha spent $2.90 on 3$\frac{1}{2}$ pounds of bananas. To find the cost per pound, we need to divide the total cost by the total weight. First, let's convert the mixed fraction to a decimal. 3$\frac{1}{2}$ is equal to 3.5.
2. Setting up the Calculation
Now, we will divide the total cost, $2.90, by the total weight, 3.5 pounds, to find the cost per pound.
3. Calculating the Price per Pound
The price per pound is calculated as follows:
$$P = \frac{2.90}{3.5}$$
$$P = 0.82857142857$$
Rounding to the nearest cent (two decimal places), we get $0.83.
4. Final Answer
Therefore, Martha spent $0.83 on each pound of bananas.
### Examples
Understanding the price per pound of items helps in budgeting and making informed purchasing decisions. For example, if you are comparing the price of bananas at two different stores, knowing the price per pound allows you to determine which store offers a better deal. This concept is also useful when buying items in bulk to ensure you are getting the best value for your money. It applies to groceries, materials for projects, and many other everyday purchases.
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