Question

A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.54. A 27.8-ounce package costs $6.78.Find the unit price for each size. Then state which size is the better buy based on the unit price,Round your answers to the nearest cent.Unit price for the 11.3-ounce package: s] per ounceUnit price for the 27.8-ounce package: >] per ounceThe better buy:The 11.3-ounce packageThe 27.8-ounce packageNeither (They have the same unit price)5?

Answer 1

Based on the unit price, the 11.3-ounce package is the better buy since it has a lower cost per ounce.

To find the unit price for each size of the coffee package and determine which size is the better buy based on the unit price, we will perform the following steps:

1. Calculate the unit price for the 11.3-ounce package.

2. Calculate the unit price for the 27.8-ounce package.

3. Compare the unit prices to determine the better buy.

Let's do the calculations:

Step 1: Unit price for the 11.3-ounce package

The unit price is calculated by dividing the total price by the number of ounces.

`\[ \text{Unit Price}_(11.3) = \frac{\text{Total Price}}{\text{Ounces}} = (2.54)/(11.3) \]`

Step 2: Unit price for the 27.8-ounce package

Similarly, we find the unit price for the 27.8-ounce package.

`\[ \text{Unit Price}_(27.8) = \frac{\text{Total Price}}{\text{Ounces}} = (6.78)/(27.8) \]`

Let's calculate these unit prices.

Here are the calculations for the unit prices:

Step 1: Unit price for the 11.3-ounce package

\
`[ \text{Unit Price}_(11.3) = (2.54)/(11.3) \approx 0.225 \text{ dollars per ounce} \]`

**Step 2: Unit price for the 27.8-ounce package

`\[ \text{Unit Price}_(27.8) = (6.78)/(27.8) \approx 0.244 \text{ dollars per ounce} \]`

After rounding to the nearest cent, we have:

- The unit price for the 11.3-ounce package is approximately $0.22 per ounce.

- The unit price for the 27.8-ounce package is approximately $0.24 per ounce.

Based on the unit price, the 11.3-ounce package is the better buy since it has a lower cost per ounce.

Answer 2

A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.54.

An 11.3-ounce package costs $2.54.

Cost of 11.3 ounce package = 2.54

Then cost of 1 ounce = 2.54/ 11.3

Cost of 1 ounce = $ 0.224

A 27.8-ounce package costs $6.78.

Cost of 27.8 ounce package = 6.78

Cost of 1 ounce = 6.78/27.8

Thus, cost of 1 ounce = 0.24388

As, 0.224 is less than the 0.24388

But for 11.3 ounces it take $2.54 and with 0.24388 per price it take 2.755

Thus, 0.224 cost less

Answer :

Unit price for the 11.3-ounce package $0.22 per ounce

Unit price for the 27.8-ounce package $0.24 per ounce

The 11.3 ounce package