Can this formula be rearranged?

[keeks137]

I hope this is a simple question. I just haven't been able to Google the right thing yet, so I thought I'd check here.
Let's say a company gives discounts that increase in scale based on the number of projects you sign up for (1st is full price, second is 15% off, 3rd is 20% off).
You can write that as this equation: Total price = x + .85y + .80z
Is there a way to restate this so that you can just take a blanket discount across the sum of all three projects rather than discount each project individually?
Thank you so much.

 

[Ishuda]

I hope this is a simple question. I just haven't been able to Google the right thing yet, so I thought I'd check here.
Let's say a company gives discounts that increase in scale based on the number of projects you sign up for (1st is full price, second is 15% off, 3rd is 20% off).
You can write that as this equation: Total price = x + .85y + .80z
Is there a way to restate this so that you can just take a blanket discount across the sum of all three projects rather than discount each project individually?
Thank you so much.

The answer is yes but the method to compute the discount is going to depend on the cost of the individual projects. If they are all the same cost then the total full price T_f can be written as
T_f = 3 x
and the total discounted price T_d can be written as
T_d = x + 0.85 x + 0.80 x = 2.65 x
so that the discount is 0.35/3 ~ 11.7%

 

[Deleted member 4993]

I hope this is a simple question. I just haven't been able to Google the right thing yet, so I thought I'd check here.
Let's say a company gives discounts that increase in scale based on the number of projects you sign up for (1st is full price, second is 15% off, 3rd is 20% off).
You can write that as this equation: Total price = x + .85y + .80z
Is there a way to restate this so that you can just take a blanket discount across the sum of all three projects rather than discount each project individually?
Thank you so much.

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting