Question

9. A carpenter makes and sells rocking cabinets. The material for each cabinet costs $75 and she spent $900 dollars

on advertising. She will sell the cabinets for $125 each. How many cabinets must she sell to have earned the same
amount of money as she spent and what is that amount of money? Let cabinets be x and money be y. (cabinets,
money) Write two Equations, then solve.

Answer 1

Let's set up the equations to solve the problem:

Equation for the cost:

The cost for each cabinet is $75, and the carpenter sells x cabinets. So the total cost of the cabinets is 75x.

Equation for the revenue:

The carpenter sells each cabinet for $125, and she sells x cabinets. So the total revenue from selling the cabinets is 125x.

Now, we can set up the equation to find the number of cabinets she needs to sell to earn the same amount of money she spent on material and advertising:

Total revenue - Total cost = Advertising cost

125x - 75x = 900

Simplifying the equation:

50x = 900

To solve for x (the number of cabinets), we divide both sides of the equation by 50:

x = 900 / 50

x = 18

Therefore, the carpenter must sell 18 cabinets to earn the same amount of money she spent on material and advertising. To find the amount of money, we substitute the value of x into the equation for total revenue:

Total revenue = 125x = 125 * 18 = $2250

So, the carpenter needs to sell 18 cabinets to earn $2250, which is the same amount she spent on material and advertising.