John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
.75 * .75 * x = 16
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Let's solve this step-by-step:
Step 1: Let's assume the original price of the shirt before any discounts as "x".
Step 2: John bought the shirt on sale for 25% off the original price. So, the price after the first discount would be (100% - 25%) = 75% of the original price: 0.75x.
Step 3: The second discount is also 25% off the discounted price. So, the price after the second discount would be (100% - 25%) = 75% of the price after the first discount: 0.75 * 0.75x = 0.5625x.
Step 4: The final price is given as $16. So, we can equate the final price to the price after the second discount:
0.5625x = $16.
Step 5: To find the price before the first discount, we need to solve for x in the equation. Divide both sides of the equation by 0.5625:
x = $16 / 0.5625.
Step 6: Calculating the value of x:
x ≈ $28.44.
Therefore, the price before the first discount was approximately $28.44.
To find the price before the first discount, we need to work backward from the final price. Let's break down the problem step by step:
1. Let's say the original price of the shirt is "X".
2. John gets a 25% discount off the original price, which means he pays 75% (100% - 25%) of the original price after the first discount. So the price after the first discount is 0.75X.
3. Now John gets another 25% discount off the price after the first discount, which means he pays 75% (100% - 25%) of the price after the first discount. So the final price is 0.75 * 0.75X or 0.5625X.
4. We know that the final price is $16, so we can set up an equation: 0.5625X = $16.
5. To find the value of X, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.5625: X = $16 / 0.5625.
6. Using a calculator, we can find that $16 / 0.5625 is approximately $28.44.
Therefore, the price before the first discount was approximately $28.44.