Tracy is taking advantage of a 25% off sale to buy a new coat. If the coat's sale price is $135, what was the original cost?
Responses
A $150$150
B $160$160
C $200$200
D $155$155
E $180
$180
Answer: E $180$180
0.75 x = 135
x = 135 / 0.75 = 180
To find the original cost of the coat, we need to undo the 25% discount.
Let's set up an equation to solve for the original cost.
Original cost - (25% of original cost) = sale price
Let x be the original cost.
x - 0.25x = 135
Simplifying the equation:
0.75x = 135
Divide both sides by 0.75:
x = 180
Therefore, the original cost of the coat was $180.
So the correct answer is E) $180.
To find the original cost of the coat, we can use the fact that the sale price is 75% of the original price.
Let's set up an equation:
Sale Price = Original Price * (1 - Discount)
where the discount is 25% or 0.25.
So, using the given information:
$135 = Original Price * (1 - 0.25)
To solve for the original price, divide both sides of the equation by 0.75:
Original Price = $135 / 0.75
Simplifying the right side of the equation gives:
Original Price = $180
Therefore, the original cost of the coat was $180.
So the answer is E) $180