janelle plans to make pillows and sell them online for $23 each. she already bought a sewing machine for…

janelle plans to make pillows and sell them online for $23 each. she already bought a sewing machine for $150. additionally, for each pillow, she will need to spend $12 on materials and $5 on shipping. which equation can you use to find p, the number of pillows janelle must sell so that her costs equal her sales? 23 + 12p = 150 + 5p 23p = 150 + 12p + 5p how many pillows must janelle sell so that her costs equal her sales? pillows

janelle plans to make pillows and sell them online for $23 each. she already bought a sewing machine for $150. additionally, for each pillow, she will need to spend $12 on materials and $5 on shipping. which equation can you use to find p, the number of pillows janelle must sell so that her costs equal her sales? 23 + 12p = 150 + 5p 23p = 150 + 12p + 5p how many pillows must janelle sell so that her costs equal her sales? pillows

Answer

Explanation:

Step1: Calculate sales and costs

Sales: Each pillow is sold for $23, so for (p) pillows, sales is (23p). Costs: Fixed cost (sewing machine) is $150. Variable cost per pillow: materials ((12)) + shipping ((5)) = (12 + 5=17) per pillow. So for (p) pillows, variable cost is (17p). Total cost is (150+17p = 150 + 12p+5p). Set sales equal to costs: (23p=150 + 12p+5p).

Step2: Solve the equation (23p=150 + 12p+5p)

First, simplify the right - hand side: (12p + 5p=17p), so the equation becomes (23p=150+17p). Subtract (17p) from both sides: (23p-17p=150+17p - 17p). (6p=150). Divide both sides by 6: (p=\frac{150}{6}).

Answer:

The equation is (23p = 150+12p + 5p). The number of pillows (p = 25).