Pam sells handwoven rugs through an online store for $50 each. She spent $98 on weaving equipment, and she spends 38.20 $ on materials and shipping for each rug. Additionally, the online store charges Pam 4.80 $ for each order placed on its website. Which equation can you use to find r, the number of rugs Pam must sell for her sales to equal her expenses? Choices: (A)50r + 4.8 = 38.2r + 98 (B)50r = 98 + 38.2r + 4.8r How many rugs must Pam sell for her sales to equal her expenses? ____ rugs

Question

Pam sells handwoven rugs through an online store for $50 each. She spent $98 on weaving equipment, and she spends 38.20 $ on materials and shipping for each rug. Additionally, the online store charges Pam 4.80 $ for each order placed on its website. Which equation can you use to find r, the number of rugs Pam must sell for her sales to equal her expenses?   Choices: (A)50r + 4.8 = 38.2r + 98 (B)50r = 98 + 38.2r + 4.8r  How many rugs must Pam sell for her sales to equal her expenses?   ____ rugs

Bytelearn · Accepted Answer

Set up equation: To find the break-even point where Pam's sales equal her expenses, we need to set up an equation where the total sales (revenue) equals the total expenses (costs).Calculate revenue: Pam's revenue for selling r rugs is $50 per rug, so the total revenue is 50r dollars.Calculate expenses: Pam's expenses include a one-time cost of $98 for weaving equipment, plus $38.20 for materials and shipping per rug, and a $4.80 fee per order. Since each rug is an order, the total expense per rug is $38.20 + $4.80. The total expenses for r rugs are 98 + (38.20 + 4.80)r dollars.Set revenue equal to expenses: To find the break-even point, we set the revenue equal to the expenses: 50r = 98 + (38.20 + 4.80)rSimplify equation: Now we simplify the equation: 50r = 98 + 43rIsolate variable r: Subtract 43r from both sides to isolate the variable r on one side: 50r - 43r = 98Divide to solve for r: This simplifies to: 7r = 98Calculate value of r: Now, divide both sides by 7 to solve for r: r = 98 / 7Calculate the value of r: r = 14

Full solution

More problems from Solve linear equations with variables on both sides: word problems

Related topics