After a 25% reduction, you purchase a television for $607.5. What was the television's price before the reduction?
(a) Write an equation to model the problem. Let x represent the price before the reduction.
(b) Solve the equation to find the price before the reduction. (Note: Your answer should be in the form $ddd.cc.)
Let the initial purchase price be: x.
So: $607.5 = 0.75 x
Therefore: x = $___.__
(a) To solve this problem, we can set up an equation using the information given. Let x represent the price before the reduction.
Since we have a 25% reduction, the price after the reduction will be 75% (100% - 25%) of the original price. This can be expressed as:
0.75 * x
And since the price after reduction is $607.5, the equation becomes:
0.75 * x = 607.5
(b) To solve the equation and find the price before the reduction, we need to isolate x. We can do this by dividing both sides of the equation by 0.75:
x = 607.5 / 0.75
Calculating this, we get:
x = 810.00
Therefore, the television's price before the reduction was $810.00