Question 1200570: you have a coupon for $100 off the price of a TV. When you arrive at the store, you find that the TVs are on sale for 25% off. Let x represent the original price of the TV.
Found 3 solutions by Theo, ikleyn, josgarithmetic:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the TVs are on sale for 25% off.
your coupon gives you $100 off the price of a TV.
if you are talking about the same TV, then $100 is equal to 25% of the price of the TV.
divide 100 by .25 to find that the original price of the TV would have to be $400.
$400 minus $100 = $300
$400 - .25 * $400 = $400 - $100 = $300.
algebraicaly, you would have two equation that need to be solved simultaneously that would look like this.
y = x - .25 * x which is simplified to y = .75 * x is your first equation.
your second equation would be y = x - 100
these two equations would need to be solved simultaneously.
they are:
y = .75 * x
y = x - 100
since they are both equal to the same value of y, set them equal to each other to get:
.75 * x = x - 100
subtract .75 * x from both sides of the equation and add 100 to both sides of the eqution to get:
100 = .25 * x
solve for x to get:
x = 400
x is the original price of the TV.
.75 * 400 = 300
400 - 100 = 300
it all checks out.
your solution is x = 400 which is the original price of the TV.
Answer by ikleyn(52786)  (Show Source):
Answer by josgarithmetic(39617)  (Show Source):
You can put this solution on YOUR website! To solve for this "x", the actual cost of the purchase for this TV is needed but is missing in the description.
The coupon and the in-store announcement are two separate things for this same TV.
The cost of purchase, without dealing with tax, is c, and if x is original price, then  . Reason for this way is because the 25% off applies to everybody; but some customers might not have the coupon for the $100 off.
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