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?23p=150+12p+5p23+12p=150+5pHow many pillows must Janelle sell so that her costs equal her sales? pillows
Question
Janelle plans to make pillows and sell them online for 150. Additionally, for each pillow, she will need to spend 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?23p=150+12p+5p23+12p=150+5pHow many pillows must Janelle sell so that her costs equal her sales? pillows
Solution
The equation that represents Janelle's situation is 23p = 150 + 12p + 5p. This equation represents the fact that the total income from selling the pillows (23p) must equal the initial cost of the sewing machine ($150) plus the cost of materials and shipping for each pillow (12p + 5p).
To find the number of pillows (p) that Janelle must sell so that her costs equal her sales, we first simplify the right side of the equation:
23p = 150 + 17p
Then, we subtract 17p from both sides of the equation to isolate p on one side:
23p - 17p = 150
6p = 150
Finally, we divide both sides of the equation by 6 to solve for p:
p = 150 / 6
p = 25
So, Janelle must sell 25 pillows so that her costs equal her sales.
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