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

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.