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

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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.