Ginger is selling soaps at a craft fair. It costs her
$33.25 to rent the booth at a craft fair plus $.75 to make
each soap. She sells the soaps for $2.50 each. After how
many soaps will Ginger's sales be the same as the cost to
rent the booth and make the soaps?
Make an equation with variables on both sides.
Let x be the number of soaps Ginger sells.
The cost to rent the booth and make the soaps is 33.25 + 0.75x.
The revenue from selling the soaps is 2.50x.
Ginger's sales will be the same as the cost to rent the booth and make the soaps when 2.50x = 33.25 + 0.75x.
Subtracting 0.75x from both sides, we get 1.75x = 33.25.
Dividing both sides by 1.75, we get x = 19.
Therefore, after selling 19 soaps, Ginger's sales will be the same as the cost to rent the booth and make the soaps.
Let's represent the number of soaps Ginger sells as "x".
The cost to make each soap is $0.75.
Therefore, the total cost to make x soaps is 0.75x.
The cost to rent the booth is $33.25.
The total sales Ginger makes is the selling price of each soap multiplied by the number of soaps sold, which is 2.50x.
To find the number of soaps when the sales will be the same as the cost, we need to set up an equation:
Total sales = Total cost
2.50x = 0.75x + 33.25
To solve this problem, let's first set up an equation to represent the situation.
Let's assume that Ginger sells 'x' number of soaps.
The cost to rent the booth is $33.25 and the cost to make each soap is $0.75. Therefore, the total cost to rent the booth and make the soaps is $33.25 + $0.75x.
Ginger sells each soap for $2.50, so her total sales revenue from 'x' number of soaps would be $2.50x.
We want to find the number of soaps (x) where Ginger's sales revenue is equal to the total cost. Therefore, we can set up the equation:
$2.50x = $33.25 + $0.75x
Now, let's solve for 'x' to find the number of soaps:
$2.50x - $0.75x = $33.25
$1.75x = $33.25
To isolate 'x', we divide both sides of the equation by $1.75:
x = $33.25 / $1.75
x = 19
Therefore, Ginger's sales will be the same as the cost to rent the booth and make the soaps when she sells 19 soaps.
To recap the steps:
1. Set up the equation: $2.50x = $33.25 + $0.75x
2. Simplify the equation: $1.75x = $33.25
3. Solve for 'x': x = $33.25 / $1.75
4. The answer is x = 19.