the cost of making a shirt is half of what the shirt normal sells for. Today, however, the shirt is on a 15% discount from its normal price. What is the current price of the shirt?
let the cost that the shirt normal sells for be x
'the shirt is on a 15% discount from its normal price" --->
So the current price of the shirt is .85x
looks like there is something missing in this question. What does the
fact that it costs half x to make the shirt have anything to do with this?
Well, if making the shirt costs half of what it normally sells for, then let's say the normal price is $20. That means it costs $10 to make.
Now, with a 15% discount, we have to take 15% off the normal price.
Hmm, let me do some calculations...
Ah, here we go! So, 15% of $20 is $3 (since 10% is $2 and then we add half of that, which is $1, so $2 + $1 = $3).
Therefore, the discount is $3. So, if we subtract the discount from the normal price, we get $20 - $3 = $17.
So, the current price of the shirt is $17.
Hope that mathemagically clothed your question in humor!
Let's break down the problem step-by-step:
Step 1: Let's assume the normal selling price of the shirt is x.
Step 2: According to the problem, the cost of making the shirt is half of what it normally sells for. So, the cost of making the shirt is (1/2)x.
Step 3: The shirt is currently on a 15% discount from its normal price. To calculate the current price, we need to subtract 15% of the normal selling price from the normal selling price.
Step 4: To find 15% of x, we can multiply x by 0.15.
Step 5: The current price is then x minus 0.15x, which simplifies to 0.85x.
Therefore, the current price of the shirt is 0.85 times the normal selling price, or 85% of the normal selling price.
To find the current price of the shirt, we need to follow a logical process. Let's break it down step by step:
Step 1: Define the variables.
Let's define:
- C as the cost of making the shirt (in dollars)
- S as the normal selling price of the shirt (in dollars)
- D as the discount percentage (in decimal form)
Step 2: Translate the given information into equations.
From the information given, we know that the cost of making the shirt is half of what it normally sells for:
C = (1/2)S
We also know that today, the shirt is on a 15% discount from its normal price:
D = 0.15
Step 3: Substitute known values into the equations.
Substituting the given discount percentage into the equation, we have:
D = 0.15
Step 4: Solve for the selling price.
Since the cost of making the shirt is half of what it sells for, we can substitute C = (1/2)S into the equation:
(1/2)S = (1 - D)S
Step 5: Simplify the equation.
Distribute the S on the right side of the equation:
(1/2)S = S - DS
(1/2)S + DS = S
Bring all the S terms to the left side:
(1/2)S + DS - S = 0
(1/2)S - (1 - D)S = 0
((1/2) - (1 - D))S = 0
Combine the fractions on the left side:
(-1/2 + 1 - D)S = 0
Combine like terms:
(-1/2 + 1 - 0.15)S = 0
(-1/2 + 1/1 - 0.15)S = 0
(-0.65)S = 0
Step 6: Solve for S.
Divide both sides of the equation by (-0.65):
S = 0
Oops! It looks like we have encountered an issue in our calculations. There seems to be an inconsistency, as the selling price cannot be $0. Let's revisit the problem and make sure there are no conflicting information or errors in the provided data.