(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.

Respuesta :

Answer:

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

Step-by-step 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:

[tex]x=\frac{1.89}{67.6}\\\\x\approx0.028[/tex]

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

[tex]12\ oz*12=144\ oz[/tex]

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

[tex]y=\frac{2.99}{144}\\\\y\approx0.021[/tex]

Since:

[tex]y<x[/tex]

The better bargain is the case of 12 ounce cans.

Q&A Education