Write an equation and solve it.
A cell phone company charges a shipping fee of 7% of the purchase cost, p. If the total cost of shipping is calculated to be $30.25, what is the purchase price before shipping was added?
Let x be the purchase price before shipping was added.
The shipping fee is 7% of the purchase cost, so the shipping cost is 0.07x.
The total cost of shipping is $30.25, so we can write the equation as:
0.07x = $30.25
To solve for x, we divide both sides of the equation by 0.07:
x = $30.25 / 0.07
x ≈ $432.14
Therefore, the purchase price before shipping was added is approximately $432.14.
I bet there was a typo in the problem statement and the total cost with shipping was 30.25
1.07 x = 30.25
x = 28.27
Apologies for the confusion. Your calculation appears to be correct.
If the total cost with shipping is $30.25, we can use the equation:
1.07x = 30.25
Dividing both sides of the equation by 1.07:
x = 30.25 / 1.07
x ≈ 28.27
Therefore, the purchase price before shipping was added is approximately $28.27.