Crystal buy headphones that are on sale with a 40% discount. If she paid $24 for the headphones with the discount, what is the full price of the headphones?
0.6x = 24
x = ?
To find the full price of the headphones, let's assume the original price (without the discount) is "x".
Since Crystal bought the headphones with a 40% discount, she paid 60% (100% - 40%) of the original price.
60% of the original price can be expressed as: 0.60x
According to the given information, Crystal paid $24 for the headphones with the discount. So we can set up the equation:
0.60x = $24
Now, let's solve for "x":
Divide both sides of the equation by 0.60:
x = $24/0.60
x = $40
Therefore, the full price of the headphones (without any discount) is $40.
To find the full price of the headphones, you can follow these steps:
1. Start by assuming the full price of the headphones as "x".
2. Apply the 40% discount to "x". To do this, multiply "x" by 0.60 (100% - 40%) since Crystal is paying only 60% of the original price.
Discounted Price = x * 0.60
3. According to the given information, Crystal paid $24 for the discounted headphones. Setting up an equation:
$24 = x * 0.60
4. Solve the equation to find the value of "x".
Divide both sides of the equation by 0.60:
$24 / 0.60 = x
x = $40
Therefore, the full price of the headphones is $40.