Question

Kroger sells a 24-pack of Diet Coke for $9.00 and 12-pack of their generic Big KDiet Cola for $2.75. How much more expensive is one can of the name-brand vs.Kroger's generic soda? (Round all calculations to 2 decimal places.) *

Answer 1

from the question

24-pack of Diet coke cost $9.

let x be the cost of a diet coke

therefore,

$\begin{gathered} 24x\text{ = \ 9} \\ \text{divide both side by 24} \\ x\text{ = }\frac{\text{\ 9}}{24} \\ x\text{ = \ 0.38 ( 2 decimal place)} \end{gathered}$

Therefore the cost of a pack of diet coke is $0.38

Also

12-pack of their generic Big K Diet Cola cost $2.75.

let y be the cost of a pack of generic Big Diet Cola

therefore

$\begin{gathered} 12y\text{ = \ 2.75} \\ divide\text{ both side by 12} \\ y\text{ = }\frac{\text{\ 2.75}}{12} \\ y\text{ = \ 0.23 ( 2 decimal place)} \end{gathered}$

Therefore, the cost of a pack of generic Big K Diet Cola is $0.23

calculating the difference in price

$\begin{gathered} Difference\text{ in price = x - y} \\ \text{Difference in price = \ 0.38 - \ 0.23} \\ \text{Difference in price = \ 0.15} \end{gathered}$

This means that the difference between the price of Diet Coke and generic Big K Diet Cola is $0.15

Therefore

The name-brand is $0.15 more expensive than generic soda