SOLUTION: How do I figure out this word problem? "A couple does not want to spend more than $90 dollars for dinner at a resturant. If the sales taxx of 5% is added to the bill and they plan

Question 342315: How do I figure out this word problem? "A couple does not want to spend more than $90 dollars for dinner at a resturant. If the sales taxx of 5% is added to the bill and they plan to tip 15% after the tax has been added, what is the most the couple can spend?" I believe you need to set up a quadratic exation like 90 = .05x + .15(.05x)+ x but I'm not sure.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the bill be $x
sales tax = 5 %
.
The bill with sales tax will be 1.05 x
...
15% tip on this value
= 1.15 * 1.05x
=1.2075x
1.2075x=90
x=90/1.2075
x $ 74.54
The bill should not be more than $ 74.53
..

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