You are the owner of a gourmet diner. On Wednesday nights, you offer a special of "Buy one dinner, get one free dinner—of equal or lesser value." Michael and Wayne come in for the special. Michael chooses chicken Parmesan for $28, and Wayne chooses a $21 barbecue-combo platter.   (a) Excluding tax and tip, how much (in $) should each pay for his proportional share of the check?   (b) If sales tax and tip amount to 1/7  of the original total of the two dinners, how much is that (in $)?   (c) If they decide to split the tax and tip in the same ratio as the dinners, how much more (in $) does each owe?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 55SE: Your roommate, Sarah, offered to buy groceries for you and your other roommate. The total bill was...
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You are the owner of a gourmet diner. On Wednesday nights, you offer a special of "Buy one dinner, get one free dinner—of equal or lesser value." Michael and Wayne come in for the special. Michael chooses chicken Parmesan for $28, and Wayne chooses a $21 barbecue-combo platter.
 
(a)
Excluding tax and tip, how much (in $) should each pay for his proportional share of the check?
 
(b)
If sales tax and tip amount to 1/7
 of the original total of the two dinners, how much is that (in $)?
 
(c)
If they decide to split the tax and tip in the same ratio as the dinners, how much more (in $) does each owe?
 
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