Math Problem Statement

The table shows the prices of seafood items at a local seafood market in Galveston, Texas. Felecia orders two pounds of shrimp, six blue crabs and three red snapper fillets. The seafood market charges a convenience fee of $5 per order. Felecia paid with a $100 bill.

Seafood Price List Item Price Blue Crabs $16.50 (per dozen) Red Snapper Fillet $7.79 (per fillet) Shrimp $12.99 (per pound)

How much change should Felecia receive from the $100 bill? A.$62.60 B.$37.40 C.$70.85 D.$29.15

Solution

To determine how much change Felecia should receive from her $100 bill, we need to calculate the total cost of her order and subtract that from $100.

Step 1: Calculate the cost of each item

  • Shrimp: Felecia ordered 2 pounds of shrimp at $12.99 per pound: Cost of shrimp=2×12.99=25.98USD\text{Cost of shrimp} = 2 \times 12.99 = 25.98 \, \text{USD}

  • Blue Crabs: Felecia ordered 6 blue crabs, and the price is $16.50 per dozen (12 crabs). To find the price for 6 crabs, we calculate half of the price for a dozen: Cost of 6 blue crabs=16.502=8.25USD\text{Cost of 6 blue crabs} = \frac{16.50}{2} = 8.25 \, \text{USD}

  • Red Snapper Fillets: Felecia ordered 3 red snapper fillets at $7.79 per fillet: Cost of red snapper fillets=3×7.79=23.37USD\text{Cost of red snapper fillets} = 3 \times 7.79 = 23.37 \, \text{USD}

Step 2: Add the convenience fee

The market charges a convenience fee of $5 per order: Convenience fee=5USD\text{Convenience fee} = 5 \, \text{USD}

Step 3: Calculate the total cost of the order

Now, we sum all the individual costs: Total cost=25.98(shrimp)+8.25(blue crabs)+23.37(red snapper fillets)+5(convenience fee)\text{Total cost} = 25.98 \, (\text{shrimp}) + 8.25 \, (\text{blue crabs}) + 23.37 \, (\text{red snapper fillets}) + 5 \, (\text{convenience fee}) Total cost=62.60USD\text{Total cost} = 62.60 \, \text{USD}

Step 4: Calculate the change

Felecia paid with a $100 bill, so the change she should receive is: Change=10062.60=37.40USD\text{Change} = 100 - 62.60 = 37.40 \, \text{USD}

Thus, the correct answer is: B.37.40\boxed{B. 37.40}

Would you like further details or have any questions?

Here are some related questions:

  1. How would the change be different if Felecia ordered an additional pound of shrimp?
  2. What if the convenience fee was 10% of the total instead of a flat $5?
  3. How much would 12 blue crabs cost instead of 6?
  4. What if Felecia only ordered red snapper fillets and no other items?
  5. How would the total change if the price per pound of shrimp increased by 10%?

Tip: Always double-check the units (e.g., per pound, per dozen) when calculating the cost from a price list.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic
Unit Conversion

Formulas

Cost of shrimp = pounds of shrimp × price per pound
Cost of blue crabs = (crabs ordered ÷ crabs per dozen) × price per dozen
Cost of red snapper fillets = fillets ordered × price per fillet
Total cost = sum of item costs + convenience fee
Change = amount paid - total cost

Theorems

-

Suitable Grade Level

Grades 5-7