document.write( "Question 1208699: 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 \n" ); document.write( "

Algebra.Com's Answer #847372 by MathTherapy(10552) $\"\"$ $\"About$

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document.write( "the price of elaines favorite big salad at the corner restaurant is 10 cents more than the price of jerrys\r\n" );
document.write( "hamburger. after treating a group of friends to lunch, jerry is certain that for 10 hamburgers and 5 salads he spent\r\n" );
document.write( "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\r\n" );
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document.write( "Let price of a hamburger be H\r\n" );
document.write( "Then price of her favourite salad = H + .1\r\n" );
document.write( "The cost of 10 hamburgers and 5 salads is GREATER THAN $37.94, but LESS THAN or EQUAL to $46.04. However, this\r\n" );
document.write( "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). \r\n" );
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document.write( "Now, the $32.94 still includes 8% tax, so using the following PROPORTIONS, we get the \"tax-less\"\r\n" );
document.write( "LOWER-RANGE (LR) and UPPER-RANGE (UR) amounts as:              \r\n" );
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document.write( "Cost of 10 hamburgers and 5 salads: 10H + 5(H + .1) = 10H + 5H + .5 = 15H + .5\r\n" );
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document.write( "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\r\n" );
document.write( "more than $38. This gives gives us the following INEQUALITY: \r\n" );
document.write( "                                                         -- Subtracting .5 \r\n" );
document.write( "                                                                 ----- Dividing by 15\r\n" );
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document.write( "As seen above, a hamburger costs MORE than $2, but NO MORE than $2.50.

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