11 kilograms of the same dog food costs $69.85.
Step-by-step explanation:
Step 1:
Paris buys 18 kg of dog food for $114.30. The food can be purchased in 1 kg bags.
If she bought the 18 kg of dog food with 1 kg bags, she would have had to buy 18 such bags.
So we need to calculate the cost of a 1 kg bag.
If 18 bags cost $114.30 we divide it by 18 to calculate the cost of 1kg.
The cost of a 1 kg bad [tex]= \frac{114.30}{18} = 6.35.[/tex]
So a 1 kg bag of dog food costs $6.35.
Step 2:
To calculate the cost of 11 kg of the same dog food, we multiply the cost of a single bag with the number of bags.
If she were to buy the 11 kg through 1 kg bags, she would need to buy 11 such bags.
The cost of 11 kg of dog food [tex]= (11)(6.35) = 69.85.[/tex]
So 11 kg of dog food would cost $69.85.