Hearth Knits Clothing Store is having its annual winter sale. Carter buys 4 wool scarves, one for each member of his family. During the sale, wool scarves are selling for 5 $ less than full price. Carter pays a total of 72 $ for the scarves. Which equation can Carter use to find f, the cost of each wool scarf at full price? Choices: (A)4f - 5 = 72 (B)5(f - 4) = 72 (C)4(f - 5) = 72 (D)5f - 4 = 72

Question

Hearth Knits Clothing Store is having its annual winter sale. Carter buys 4 wool scarves, one for each member of his family. During the sale, wool scarves are selling for 5 $ less than full price. Carter pays a total of 72 $ for the scarves. Which equation can Carter use to find f, the cost of each wool scarf at full price?   Choices: (A)4f - 5 = 72 (B)5(f - 4) = 72 (C)4(f - 5) = 72 (D)5f - 4 = 72

Bytelearn · Accepted Answer

Identify Problem & Equation:  Identify the problem and set up the equation. Carter buys 4 scarves, each at a discounted price of $5 less than the full price. He pays a total of $72. We need to find the full price, f, of each scarf. Mathematically, this can be expressed as the total cost being equal to the number of scarves multiplied by the discounted price of each scarf. Discounted price = f - 5. Total cost = 4 * (f - 5). Set up the equation: 4 * (f - 5) = 72. Set Up Equation:  Solve the equation for f. Start by distributing the 4 on the left side of the equation: 4f - 20 = 72. Next, add 20 to both sides to isolate the term with f: 4f - 20 + 20 = 72 + 20, 4f = 92. Finally, divide both sides by 4 to solve for f: f = 92 / 4, f = 23.

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