SOLUTION: Please help!!! I do not know if this is the correct section or not but I am stumped... This is the word problem... Company A offers a 25% discount on every order. Company B off

Question 122968: Please help!!! I do not know if this is the correct section or not but I am stumped...
This is the word problem... Company A offers a 25% discount on every order. Company B offers a 35% discount on every dollar the customer spends over $50.00. Determine algebraically the actual price at which Company B offers you the same discount as Company A and determine the actual price at which company B will give you a greater discount than Company A.
I have done a chart and determined that a $200 order results in a $50.00 discount from Company A and a $52.50 discount from company B. I just do not know or understand how to figure out the rest of what they are asking for. Thanks for your help
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
.25x=.35(x-50)
.25x=.35x-17.5
.25x-.35x=-17.5
-.1x=-17.5
x=-17.5/-.1
x=$175 dollars is the break even purchase.
proof.
.25*175=43.75 is the discount from A company on a purchase of $175.
.35(175-50)=.35*125=43.75 discount from B companym on a purchase of $175.
Any purchase over $175 from B company will provide a larger discount than A company.
RELATED QUESTIONS
I do not know if this is the right section or not, but please help me solve this... (answered by checkley75)

Again, I know I am in the wrong section... But can anyone help me solve the following... (answered by stanbon)

Can soneone please let me know if I am on the right track with this problem, I may have... (answered by jorel1380,edjones)

square root 4/11 Instructions are to simplify. I am not sure if the way I have this... (answered by Nate)

Hi I am not sure if I am in the right section or not but this is my problem: The... (answered by rapaljer)

I'm not sure if this is in the correct section, but I really need help as soon as... (answered by reviewermath)

If x is 2,3,4 and Y is 11,49,123 what is the rule? I have tried everything and am... (answered by Edwin McCravy)

This was under the conic section of my book but I am not sure if it is a review or if it... (answered by rapaljer)

I am not sure I got this correct here is the word problem: One thousand raffle tickets... (answered by stanbon)