Question

david paid $12.53 for a 7.03-kg bag of dog food. a few weeks later, he paid $14.64 for a 7.98-kg bag at a different store. find the unit price for each bag. then state which bag is the better buy based on the unit price. round your answers to the nearest cent. unit price for the 7.03-kg bag: $\square$ per kg unit price for the 7.98-kg bag: $\square$ per kg the better buy: \\(\circ\\) the 7.03-kg bag \\(\circ\\) the 7.98-kg bag \\(\circ\\) neither (they have the same unit price)

Explanation:

Step1: Calculate unit price for 7.03-kg bag

Unit price is total price divided by weight. So, for the 7.03-kg bag, we do \( \frac{12.53}{7.03} \approx 1.78 \) (rounded to nearest cent).

Step2: Calculate unit price for 7.98-kg bag

For the 7.98-kg bag, unit price is \( \frac{14.64}{7.98} \approx 1.83 \) (rounded to nearest cent).

Step3: Compare unit prices

Since \( 1.78 < 1.83 \), the 7.03-kg bag has a lower unit price, so it's the better buy.

Answer:

Unit price for the 7.03-kg bag: $\boldsymbol{1.78}$ per kg
Unit price for the 7.98-kg bag: $\boldsymbol{1.83}$ per kg
The better buy: The 7.03-kg bag