Question

The unit price of a 128-ounce jug of milk is 4.8 cents per ounce. A 64-ounce carton of milk has a unit price of 5.1 cents per ounce. Approximately how much money is saved by purchasing a larger jug instead of two cartons?
$0.38
$0.54
$4.27
$6.14

Answer 1

To find the savings from purchasing a 128-ounce jug of milk instead of two 64-ounce cartons, we can perform the following calculations:

1. Calculate the total cost of the 128-ounce jug:
\[
\text{Cost of 128-ounce jug} = 128 \, \text{ounces} \times 0.048 \, \text{dollars/ounce} = 128 \times 0.00048 = 0.06144 \, \text{dollars} = 6.144 \, \text{dollars}
\]

2. Calculate the cost of one 64-ounce carton:
\[
\text{Cost of one 64-ounce carton} = 64 \, \text{ounces} \times 0.051 \, \text{dollars/ounce} = 64 \times 0.00051 = 0.03264 \, \text{dollars} = 3.264 \, \text{dollars}
\]

3. Calculate the total cost for two 64-ounce cartons:
\[
\text{Cost for two 64-ounce cartons} = 2 \times 3.264 = 6.528 \, \text{dollars}
\]

4. Now, calculate the savings:
\[
\text{Savings} = \text{Cost of two cartons} - \text{Cost of one jug} = 6.528 - 6.144 = 0.384 \, \text{dollars}
\]

The savings are approximately $0.38.

Therefore, the answer is:

\[
\boxed{0.38}
\]