Kaitlin paid $$ \$ 13.24 $$ for a 3.41 -pound bag of shrimp at one store. The following week, she paid $$ \$ 18.99 $$ for a 4.96 -pound bar 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. Unit price for the 3.41 -pound bag: $$ \$ \square $$ per pound Unit price for the 4.96 -pound bag: $$ \$ \square $$ per pound The better buy: O The 3.41 -pound bag The 4.96 -pound bag

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UpStudy AI · Accepted Answer

To find the unit price for each bag, we need to divide the total cost by the weight of the bag.

1. For the 3.41-pound bag:
   - Total cost = $13.24
   - Weight = 3.41 pounds
   - Unit price = Total cost / Weight

2. For the 4.96-pound bag:
   - Total cost = $18.99
   - Weight = 4.96 pounds
   - Unit price = Total cost / Weight

Let's calculate the unit prices for both bags.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{13.24}{3.41}$$
- step1: Convert the expressions:
  $$\frac{\frac{331}{25}}{\frac{341}{100}}$$
- step2: Multiply by the reciprocal:
  $$\frac{331}{25}	imes \frac{100}{341}$$
- step3: Reduce the numbers:
  $$331	imes \frac{4}{341}$$
- step4: Multiply:
  $$\frac{331	imes 4}{341}$$
- step5: Multiply:
  $$\frac{1324}{341}$$
Calculate or simplify the expression $$ 18.99 / 4.96 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{18.99}{4.96}$$
- step1: Convert the expressions:
  $$\frac{\frac{1899}{100}}{\frac{124}{25}}$$
- step2: Multiply by the reciprocal:
  $$\frac{1899}{100}	imes \frac{25}{124}$$
- step3: Reduce the numbers:
  $$\frac{1899}{4}	imes \frac{1}{124}$$
- step4: Multiply the fractions:
  $$\frac{1899}{4	imes 124}$$
- step5: Multiply:
  $$\frac{1899}{496}$$
The unit price for the 3.41-pound bag is approximately $3.88 per pound, and the unit price for the 4.96-pound bag is approximately $3.83 per pound.

Since $3.83 is less than $3.88, the 4.96-pound bag is the better buy based on the unit price.
Unit price for the 3.41-pound bag: $3.88 per pound Unit price for the 4.96-pound bag: $3.83 per pound The better buy: The 4.96-pound bag

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