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John paid $12.16 for a 4.07-pound bag of shrimp at one store. The following week, he paid $14.99 for a 5.11-pound bag at another 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.

Sagot :

Let's determine the unit price of each bag that John bought:

Bag 1: A 4.07-pound bag of shrimp for $12.16.

[tex]\text{ Unit price = }\frac{\text{ \$12.16 }}{\text{ 4.07 pound}}[/tex][tex]\text{ Unit price = \$2.98771498771 per pound}[/tex][tex]\text{ Unit price }\approx\text{ \$2.99 per pound}[/tex]

Bag 2: A 5.11-pound bag for $14.99

[tex]\text{ Unit price = }\frac{\text{ \$14.99 }}{\text{ 5.11 pound}}[/tex][tex]\text{ Unit price = \$2.93346379648 per pound}[/tex][tex]\text{ Unit price }\approx\text{ \$2.93 per pound}[/tex]

Conclusion: Bag 2 is cheaper than Bag 1. Therefore, Bag 1 is better,