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jadak2020
05.05.2020 •
Mathematics
6. A hamburger has 200 fewer calories than a 6-count nugget. Two hamburgers and a 6-count nugget have 1100 calories. How many calories does each contain?
Solve system of equations by using the elimination method
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Ответ:
nuggets = 233.33 calories
hamburger = 433.33 calories
Step-by-step explanation:
The two equations described in the text are:
n=h-200
2h+n=1100
In order to use elimination, rearrange the first equation so both variables are on the same side of the equation.
n=h - 200 = n - h = -200 and then line up the equations.
n - h = -200
n + 2h = 1100
Subtract the two equations and solve for h
-3h = -1300 - divide each side by -3
h = 433.33 calories
Substitute the answer for h into one of the original equations
n - 433.33 = -200
n = 233.33
Check it by substituting everything into the other equation
233.33+ 2(433.33) = 1,099.9 rounds to 1,100.
Ответ: