An item is selling for $350 F.O.B. factory. The terms are 3/10, 2/30; freight $32. You will be paying within 10 days. Which of these can be used to find the total amount you must pay?
A. $350-(350 \times 0.03)+32$
B. $350+(350 \times 0.03)+32$
C. $(350 \times 0.03)+32$
D. $350-(350 \times 0.03)
Answer (2)
Calculate the discount amount: 350 × 0.03 = 10.5 .
Subtract the discount from the original price: 350 − 10.5 = 339.5 .
Add the freight cost to the discounted price: 339.5 + 32 = 371.5 .
The correct expression is 350 − ( 350 × 0.03 ) + 32 , which gives the total amount to pay.
The correct expression is: 350 − ( 350 × 0.03 ) + 32 .
Explanation
Understanding the Problem The problem asks us to determine the correct expression for calculating the total amount to pay for an item, considering a discount and freight charges. The item's selling price is $350 F.O.B. factory, with terms of 3/10, 2/30, and freight of $32. We are paying within 10 days, so we qualify for the 3% discount.
Calculating the Discount First, we need to calculate the discount amount. The discount is 3% of the selling price, which is calculated as: 350 × 0.03 = 10.5 So, the discount amount is $10.5.
Finding the Discounted Price Next, we subtract the discount from the original price to find the discounted price: 350 − 10.5 = 339.5 So, the discounted price is $339.5.
Calculating the Total Amount Finally, we add the freight cost to the discounted price to find the total amount to pay: 339.5 + 32 = 371.5 So, the total amount to pay is $371.5.
Matching the Expression Now, let's examine the given expressions to see which one matches our calculation:
350 − ( 350 × 0.03 ) + 32 : This expression correctly calculates the discount and subtracts it from the original price, then adds the freight cost. This matches our calculation.
350 + ( 350 × 0.03 ) + 32 : This expression incorrectly adds the discount to the original price.
( 350 × 0.03 ) + 32 : This expression only calculates the discount and adds the freight cost, but it doesn't subtract the discount from the original price.
350 − ( 350 × 0.03 ) : This expression only calculates the discounted price but doesn't include the freight cost.
Final Answer Therefore, the correct expression to find the total amount to pay is: 350 − ( 350 × 0.03 ) + 32
Examples
Understanding discounts and freight charges is crucial in many real-life scenarios, especially in business and personal finance. For example, when purchasing goods for your store, you need to calculate the actual cost, including discounts and shipping fees, to determine your profit margin. Similarly, when buying items online, understanding how discounts and shipping costs affect the final price helps you make informed purchasing decisions and manage your budget effectively. This calculation ensures you know exactly how much you're paying, avoiding any unexpected costs.
The total amount you must pay for the item, after applying a 3% discount and adding a freight cost of $32, is calculated using the expression 350 − ( 350 × 0.03 ) + 32 . The correct choice is A.
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