One pound of bananas costs 49 cents.
A) Calculate the cost of 9.23 pounds of bananas.
B) If I paid $2.79, how many pounds of bananas did I buy?
The correct answer and explanation is :
Let’s solve each part step by step.
A) Calculate the cost of 9.23 pounds of bananas.
We know that the cost of 1 pound of bananas is 49 cents, or $0.49. To find the cost of 9.23 pounds of bananas, we need to multiply the cost per pound by the total number of pounds:
[
\text{Cost} = 9.23 \, \text{pounds} \times 0.49 \, \text{dollars per pound}
]
[
\text{Cost} = 4.5227 \, \text{dollars}
]
So, the cost of 9.23 pounds of bananas is $4.52 (rounded to the nearest cent).
B) If I paid $2.79, how many pounds of bananas did I buy?
Now, we want to determine how many pounds of bananas you bought for $2.79. Since each pound costs $0.49, we can use division to find the number of pounds:
[
\text{Pounds of bananas} = \frac{2.79}{0.49}
]
[
\text{Pounds of bananas} = 5.7 \, \text{pounds}
]
So, if you paid $2.79, you bought 5.7 pounds of bananas.
Explanation:
In part A, to calculate the cost for 9.23 pounds of bananas, we simply multiply the cost per pound by the number of pounds. This is a direct application of the formula for total cost:
[
\text{Total Cost} = \text{Price per Unit} \times \text{Quantity}
]
In this case, the unit price is $0.49, and the quantity is 9.23 pounds.
For part B, to determine how many pounds of bananas you could buy for a specific amount of money, we divide the total money you paid by the cost per pound. This is the inverse of the calculation in part A, using the formula:
[
\text{Quantity} = \frac{\text{Total Cost}}{\text{Price per Unit}}
]
By dividing $2.79 by $0.49, we get the amount of bananas you could buy, which is 5.7 pounds.
Both calculations are based on simple unit price principles, where we either multiply or divide by the cost per unit to find the total cost or the quantity.