Question

A 12-oz can of soda pop costs eighty-nine cents. A 2.00 L bottle of the same variety of soda pop costs $2.29. How many times more expensive it is to buy the 12-oz can of pop compared to buying it in a 2.00 L bottle? (1.00 L = 1.057 quart and 1 quart contains 32 oz)

Answer 1

Answer: It's 2.2 times more expensive to buy the 12-oz can of pop compared to buying it in a 2.00 L bottle

Step-by-step explanation:

You know that:

$1.00\ L = 1.057\ quarts$

$1.00\ quart=32\ oz$

Then, you can make the conversion from liters to quarts:

$(2.00\ L)(\frac{1.057\ quarts}{1.00\ L})=2.114\ quarts$

Now, you need to make the conversion from quarts to ounces:

$(2.114\ quarts)(\frac{32\ 0z}{1.00\ quart})=67.648\ oz$

You know that a 12-oz can of soda pop costs 89 cents (which is $0.89). Then, the cost per ounce is:

$\frac{\ 0.89}{12}=\ 0.074$

 And a 2.00 L bottle (67.648 oz) of the same variety of soda pop costs $2.29. The cost per ounce is:

$\frac{\ 2.29}{67.648}=\ 0.033$

Finally, you must divide $0.074 by $$0.033:

$\frac{\ 0.074}\ 0.033}=2.2$

Therefore, It's 2.2 times more expensive to buy the 12-oz can of pop compared to buying it in a 2.00 L bottle.