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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?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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?
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let h = no. of calories in a hamburger
let s = no. of calories in a soda
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Write an equation for each transaction
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3h + 5s = 1839
7h + 3s = 2575
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Use elimination, multiply the 1st equation by 3, the 2nd by 5
35h + 15s = 12875
9h + 15s = 5517
--------------------subtraction eliminates s, find h
26h + 0 = 7358
h = 7358/26
h = 283 calories in a hamburger
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Find the number in a soda
3(283) + 5s = 1839
5s = 1839 - 849
5s = 990
s = 990/5
s = 198 calories in a soda
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Check solutions in the 2nd equation
7(283) + 3(198) = 2575
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