Lisa buys a cell phone that is on sale for 15% off the original price. The original price is $180 more than the sale price. What is the original price of the cell phone.
original price = x
sale price = .85x
x - .85x = 180
.15x = 180
x = 180/.15 = 1200
$1200 for a cell phone ??
check:
15% of 1200 = 180
18+4=
To solve this problem, let's break it down step by step:
Step 1: Let's assume the sale price of the cell phone is "x" dollars.
Step 2: The original price of the cell phone is $180 more than the sale price. Therefore, the original price would be "x + $180" dollars.
Step 3: The cell phone is on sale for 15% off the original price. To find the sale price, we need to subtract 15% of the original price from the original price.
Step 4: To calculate 15% of a value, we multiply that value by 15/100 or simply by 0.15. So, 15% of "x + $180" would be (0.15 * (x + $180)) dollars.
Step 5: Subtracting 15% of the original price from the original price gives us the sale price: (x + $180) - (0.15 * (x + $180)).
Step 6: We know that the sale price is equal to x dollars. Therefore, we can set up the equation:
x = (x + $180) - (0.15 * (x + $180))
Step 7: Now, let's solve the equation for x.
x = x + $180 - 0.15x - 0.15($180)
x = x + $180 - 0.15x - $27
0.85x = $180 - $27
0.85x = $153
Step 8: Solve for x by dividing both sides of the equation by 0.85:
x = $153 / 0.85
x ≈ $180
Therefore, the original price of the cell phone is approximately $180.