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)

Respuesta :

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:

[tex]1.00\ L = 1.057\ quarts[/tex]

[tex]1.00\ quart=32\ oz[/tex]

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

[tex](2.00\ L)(\frac{1.057\ quarts}{1.00\ L})=2.114\ quarts[/tex]

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

[tex](2.114\ quarts)(\frac{32\ 0z}{1.00\ quart})=67.648\ oz[/tex]

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

[tex]\frac{\$0.89}{12}=\$0.074[/tex]

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

[tex]\frac{\$2.29}{67.648}=\$0.033[/tex]

Finally, you must divide $0.074 by $0.033:

[tex]\frac{\$0.074}\$0.033}=2.2[/tex]

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.