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(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.

1 Answer

3 votes

Answer:

  • 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.

User Denzal
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