A soft drink costs 75 cents for a 12-oz can. A two-liter bottle costs $1.25. How much more expensive is the can compared to the two-liter bottle (1.0 L = 1.057 qt, 1 qt = 32 oz)
A) The can is over two times more expensive by volume.
B) The can is over three times more expensive by volume.
C) The can is over four times more expensive by volume.
D) The can is over five times more expensive by volume.
E) None of the above

Question

Quizplus · Accepted Answer

First, we need to convert the two-liter bottle into ounces:

2 liters = 2 x 1.057 qt x 32 oz/qt = 67.5856 oz

Now we can compare the prices:

Price per oz for can = 75 cents / 12 oz = 6.25 cents/oz
Price per oz for two-liter bottle = $1.25 / 67.5856 oz = 1.85 cents/oz

The can is more expensive by (6.25 - 1.85) = 4.4 cents/oz

To determine how many times more expensive it is, we can divide the price per oz of the can by the price per oz of the two-liter bottle:

6.25 / 1.85 = 3.38

This means that the can is over three times more expensive than the two-liter bottle by volume. Thus, the answer is B.

A Soft Drink Costs 75 Cents for a 12-Oz Can