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congratulations you just got a fifty dollar gift card and youve decided to take some friends out the question is is how much can we order from the menu and still have enough for the tax and the tip for this example lets assume youre going to give twenty percent tip thats 0.2 after tax and that the tax is seven percent or point zero seven of the total dollars of the order okay but how much can we spend on our order this is where some algebra can be helpful I know you dont have to be afraid of algebra Ill show you exactly what Im talking about lets say that X is the total dollars of your order before the tip so at twenty percent X plus 0.2 x equals fifty dollars or 1.2 x equals fifty dollars this means that X is 41 dot 67 cents thats the post tax pre tip amount why would be the total dollars of your order before taxes applied at seven percent tax y plus 0.07 y equals the 40 1.67 the amount thats before the tip or 1.07 y equals 41 dot sixty-seven cents therefore y equals 38 dot