Question

(20 points) A 2-liter bottle of soda (67.6 ounces) costs $1.89. A case of twelve 12 ounce

cans of the same soda costs $2.99. Calculate the unit price (price/ounce) of each
item and determine which is the better bargain.

Answer 1

• Unit price of a 2-liter bottle of soda:
  `\$0.028\ per\ ounce`
• Unit price of a case of twelve 12 ounce cans:
  `\$0.021\ per\ ounce`
• The better bargain is the case of 12 ounce cans.

Explanation:

Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y" the unit price (price/ounce) of the soda in the case of twelve 12 ounces cans.

According to the data provided in the exercise, you know that:

1. The 2-liter bottle of soda is equal to 67.6 ounces.

2. That bottle costs $1.89

Then, the unit price is:

`x=(1.89)/(67.6)\\\\x\approx0.028`

3. There are 12 ounce cans in the case. Then the total ounces is:

`12\ oz*12=144\ oz`

4. It costs $2.99. So the unit price is:

`y=(2.99)/(144)\\\\y\approx0.021`

Since:

`y<x`

The better bargain is the case of 12 ounce cans.