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. $(350 \times 0.03)+32$
B. $350-(350 \times 0.03)+32$
C. $350+(350 \times 0.03)+32$
D. $350-(350 \times 0.03)
Answer (2)
Calculate the discount amount: 350 \t \t × 0.03 = 10.5 .
Subtract the discount from the original price: 350 − ( 350 \t \t × 0.03 ) = 339.5 .
Add the freight cost to the discounted price: 339.5 + 32 = 371.5 .
The total amount to pay is: 350 − ( 350 × 0.03 ) + 32 .
Explanation
Understanding the Problem The problem states that an item is selling for $350 F.O.B. factory with terms 3/10, 2/30 and freight $32. We need to determine the total amount to pay if paying within 10 days.
Understanding the Discount The terms 3/10, 2/30 mean that a 3% discount is applied if the payment is made within 10 days, and a 2% discount is applied if the payment is made within 30 days. Since we are paying within 10 days, we get a 3% discount.
Calculating the Discount First, calculate the discount amount: $350 \times 0.03 = $10.50.
Subtracting the Discount Next, subtract the discount from the original price: $350 - $10.50 = $339.50.
Adding the Freight Cost Finally, add the freight cost to the discounted price: $339.50 + $32 = $371.50.
Finding the Correct Expression Therefore, the expression to find the total amount to pay is 350 − ( 350 × 0.03 ) + 32 .
Final Answer The total amount to pay is $371.50.
Examples
Imagine you are buying furniture for your new apartment. The furniture costs $350, and the store offers a 3% discount if you pay within 10 days. Additionally, there's a $32 shipping fee. This problem helps you calculate the total amount you need to pay, considering both the discount and the shipping cost. Understanding these calculations ensures you can manage your budget effectively and take advantage of available discounts. This type of calculation is useful in many real-life scenarios, from online shopping to negotiating prices in local stores.
To find the total payment, calculate the 3% discount on $350, subtract it from the original price, and then add the $32 freight charge. The final total comes to $371.50. The correct expression is option B: $350 - (350 \times 0.03) + 32.
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