document.write( "Question 1125491: Suppose that Kristin placed an order for three hamburgers and five sodas, for a total of 1839 calories. Jake placed an order for seven hamburgers and three sodas, for a total of 2575 calories. How many calories are in a hamburger? How many calories are in a soda? \n" ); document.write( "
Algebra.Com's Answer #741824 by ankor@dixie-net.com(22740)\"\" \"About 
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Suppose that Kristin placed an order for three hamburgers and five sodas, for a total of 1839 calories.
\n" ); document.write( " Jake placed an order for seven hamburgers and three sodas, for a total of 2575 calories.
\n" ); document.write( " How many calories are in a hamburger?
\n" ); document.write( " How many calories are in a soda?
\n" ); document.write( ":
\n" ); document.write( "let h = no. of calories in a hamburger
\n" ); document.write( "let s = no. of calories in a soda
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each transaction
\n" ); document.write( ":
\n" ); document.write( "3h + 5s = 1839
\n" ); document.write( "7h + 3s = 2575
\n" ); document.write( ":
\n" ); document.write( "Use elimination, multiply the 1st equation by 3, the 2nd by 5
\n" ); document.write( "35h + 15s = 12875
\n" ); document.write( " 9h + 15s = 5517
\n" ); document.write( "--------------------subtraction eliminates s, find h
\n" ); document.write( "26h + 0 = 7358
\n" ); document.write( "h = 7358/26
\n" ); document.write( "h = 283 calories in a hamburger
\n" ); document.write( ":
\n" ); document.write( "Find the number in a soda
\n" ); document.write( "3(283) + 5s = 1839
\n" ); document.write( "5s = 1839 - 849
\n" ); document.write( "5s = 990
\n" ); document.write( "s = 990/5
\n" ); document.write( "s = 198 calories in a soda
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( "7(283) + 3(198) = 2575 \n" ); document.write( "
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