Winnie is buying dog food for her dog. She needs 10 pounds of food each week, but has room to store any extra food that she purchases.The food comes in 4 different sizes as given below:

4.2 pounds for $4.99
8.5 pounds for $9.27
12 pounds for $11.04
20 pounds for $18.99
Winnie is trying to be a smart shopper and get the best deal on the dog food. Which size bag of dog food should Winnie buy?
a.
Winnie should buy the 4.2 pound bags.
b.
Winnie should buy the 8.5 pound bags.
c.
Winnie should buy the 12 pound bags.
d.
Winnie should buy the 20 pound bags.

1 answer

To determine which size bag of dog food Winnie should buy, we need to calculate the price per pound for each option. Then, we can compare the costs to find the best deal.

  1. 4.2 pounds for $4.99

    • Price per pound = \( \frac{4.99}{4.2} \approx 1.19 \) dollars per pound
  2. 8.5 pounds for $9.27

    • Price per pound = \( \frac{9.27}{8.5} \approx 1.09 \) dollars per pound
  3. 12 pounds for $11.04

    • Price per pound = \( \frac{11.04}{12} \approx 0.92 \) dollars per pound
  4. 20 pounds for $18.99

    • Price per pound = \( \frac{18.99}{20} \approx 0.95 \) dollars per pound

Now we can summarize our findings:

  • 4.2 pounds: approximately $1.19 per pound
  • 8.5 pounds: approximately $1.09 per pound
  • 12 pounds: approximately $0.92 per pound
  • 20 pounds: approximately $0.95 per pound

From the calculations, the 12-pound bag has the lowest cost per pound.

Therefore, the best deal for Winnie is: c. Winnie should buy the 12 pound bags.