To calculate the total cost of your grocery purchases, I'll follow these steps:
- Calculate the cost of each item.
- Sum the costs of all items to find the subtotal.
- Determine the applicable discount, if any.
- Apply the discount to the subtotal.
- Calculate the sales tax on the discounted total.
- Add the sales tax to the discounted total to find the final total.
Step 1: Calculate the cost of each item
-
Cheese:
\[ \text{Cost} = \frac{1}{2} \text{ lb} \times $2.99/\text{lb} = 0.5 \times 2.99 = $1.495 \] -
Sliced Ham:
\[ \text{Cost} = 2 \text{ lbs} \times $4.29/\text{lb} = 2 \times 4.29 = $8.58 \] -
Bread:
\[ \text{Cost} = 2 \text{ loaves} \times $2.49/\text{loaf} = 2 \times 2.49 = $4.98 \] -
Potato Chips:
The best deal is to buy 2 bags for $3.00.
\[ \text{Cost} = 3 \text{ bags} = 1.5 \times 3.00 = $4.50 \] (as 2 bags cost 3.00 and the 3rd bag costs 1.99, but buying three individually is $4.97) -
Salsa:
\[ \text{Cost} = 2 \text{ containers} \times $3.39/\text{container} = 2 \times 3.39 = $6.78 \]
Step 2: Sum the costs of all items
Now, let's sum the cost of all the items calculated above:
\[ \text{Subtotal} = 1.495 + 8.58 + 4.98 + 4.50 + 6.78 \]
\[ \text{Subtotal} = 26.303 \]
Step 3: Determine the applicable discount
- The subtotal is $26.30, which is greater than $25.00.
- Since it is not over $30.00, the applicable discount is $3.00 off.
Step 4: Apply the discount to the subtotal
\[ \text{Discounted Total} = \text{Subtotal} - \text{Discount} = 26.303 - 3.00 = 23.303 \]
Step 5: Calculate the sales tax on the discounted total
- The food sales tax is 4%.
\[ \text{Sales Tax} = 0.04 \times 23.303 = 0.93212 \]
Step 6: Add the sales tax to the discounted total
\[ \text{Final Total} = \text{Discounted Total} + \text{Sales Tax} = 23.303 + 0.93212 = 24.23512 \]
Conclusion
Rounding to two decimal places, the total cost of your purchases is:
\[ \text{Total Cost} = $24.24 \]
Summary of Results:
- Subtotal: $26.30
- Discount: $3.00
- Discounted Total: $23.30
- Sales Tax: $0.93
- Final Total: $24.24
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