A six-pack of 12 oz soft drinks sells for $2.44, and a 2.0 L bottle of the same soft drink sells for $1.47. What is the cost in dollars per liter for each?
1.14
I assume the 12 oz can is a 12 fluid oz can. 32 fluid oz is a quart so 12/32 = 0.375 qt.
There are 1.057 qts in 1 liter.
2.44/6 = cost of 12 oz can.
Put it together to obtain
2.44/6 cans x (1 can/12 oz) x (32 oz/1 qt) x (1.057 qt/1 l) = ?? for 1 can of the six pack.
1.47/2 = cost of the 2 L per L.
check my thinking. Check my work.
To find the cost in dollars per liter for each, we need to determine the price per liter for both the six-pack and the 2.0 L bottle.
First, let's calculate the price per liter for the six-pack:
- A six-pack contains six 12 oz soft drinks, which is a total of 6 x 12 = 72 oz.
- Since there are 128 oz in a gallon, we divide 72 by 128 to find the equivalent liters: 72 / 128 = 0.5625 L.
- The price for the six-pack is $2.44, so to find the price per liter, we divide $2.44 by 0.5625 L: $2.44 / 0.5625 L = $4.3422 per liter (rounded to four decimal places).
Next, let's calculate the price per liter for the 2.0 L bottle:
- The price for the 2.0 L bottle is $1.47, so the price per liter is simply $1.47 / 2.0 L = $0.735 per liter.
Therefore, the cost in dollars per liter for the six-pack is approximately $4.3422 and for the 2.0 L bottle is $0.735.