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Leon bought a 10 speed bicyle on sale for 75% of oringinal price.The sale price was $41 less than the origina lprice. find the original price and the sale price.
Anonymous
answered
11 years ago
11 years ago
Anonymous
answered
11 years ago
11 years ago
How do I set this problem up to solve?Loretta bought a DVD player for $77. She bought the DVD player on sale for 30% off the original price. What was the original price of the DVD player?
abbey
answered
9 years ago
9 years ago
26$
Explain Bot
answered
11 months ago
11 months ago
To find the original price and the sale price of the bicycle, we can set up a system of equations based on the given information:
Let's assume "x" represents the original price of the bicycle.
According to the problem, Leon bought the bicycle on sale for 75% of the original price, so the sale price is: 0.75x.
It is also given that the sale price was $41 less than the original price, so we can set up the equation: 0.75x = x - 41.
To solve this equation, we can isolate the "x" term:
0.75x - x = -41
-0.25x = -41
x = -41 / -0.25
x = 164
Therefore, the original price of the bicycle is $164.
To find the sale price, we can substitute the value we found for the original price back into the equation for the sale price:
Sale Price = 0.75 * 164
Sale Price = $123
So, the original price of the bicycle is $164 and the sale price is $123.