Answer:
The 48-pack has the better unit price per bottle
Step-by-step explanation:
Given the two packages of same brand water bottles, where:
- 48-pack of 8 oz bottles = $5.88
- 28-pack of 10 oz bottles = $5.98
We can compare which package has the better unit price per bottle by finding out how much each bottle costs, and the price per fluid ounce (fl oz) of each bottle.
48-pack:
For the 48-pack, divide the total cost of $5.88 by the number of bottles for the whole package to determine the price of each bottle.
[tex]\mathsf{\frac{\$5.88} {48\:bottles}\:=\:\$0.1225\:per\:bottle}[/tex]
Next, divide the price per bottle by 8 ounces to find the cost per fluid ounce of the 48-pack:
[tex]\mathsf{\frac{\$0.1225} {8\:fl\:oz}\:=\:\$0.015\:per\:fl\:oz}[/tex]
28-pack:
Similar to our solution for the 48-pack, we can determine the price of each bottle in a 28-pack by dividing the total cost of $5.98 by 28 bottles to determine the price of each bottle.
[tex]\mathsf{\frac{\$5.98} {28\:bottles}\:=\:\$0.21357\:per\:bottle}[/tex]
Next, divide the price per bottle by 10 ounces to find the cost per fluid ounce of the 28-pack:
[tex]\mathsf{\frac{\$0.21357} {10\:fl\:oz}\:=\:\$0.0214\:per\:fl\:oz}[/tex]
Answer:
Therefore, the 48-pack of 8-ounce bottles has a better unit price per bottle of $0.12 than the unit price per bottle of the 28-pack of water bottles of $0.21.
