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

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)((1.057\ quarts)/(1.00\ L))=2.114\ quarts`

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

`(2.114\ quarts)((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:

`(\$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:

`(\$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.