the price of elaines favorite big salad at the corner restaurant is 10 cents more than the price of jerrys
hamburger. after treating a group of friends to lunch, jerry is certain that for 10 hamburgers and 5 salads he spent
more than $37.94, but no more than $46.04. including tax at 8% and a $5.00 tip. in what price range is a hamburger

Let price of a hamburger be H
Then price of her favourite salad = H + .1
The cost of 10 hamburgers and 5 salads is GREATER THAN $37.94, but LESS THAN or EQUAL to $46.04. However, this
range includes a $5 tip and 8% sales tax. Deducting the $5 tip gives $32.94 ($37.94 - $5) and $41.04 ($46.04 - $5). 

Now, the $32.94 still includes 8% tax, so using the following PROPORTIONS, we get the "tax-less"
LOWER-RANGE (LR) and UPPER-RANGE (UR) amounts as:              
                                                                

Cost of 10 hamburgers and 5 salads: 10H + 5(H + .1) = 10H + 5H + .5 = 15H + .5

It can now be said the cost of the 10 hamburgers and 5 salads, less tax and tip, was more than $30.50, but no
more than $38. This gives gives us the following INEQUALITY: 
                                                         -- Subtracting .5 
                                                                 ----- Dividing by 15
                                                                 

As seen above, a hamburger costs MORE than $2, but NO MORE than $2.50.