There are a total of 510 calories in 6 ounces of turkey and one slice of pumpkin pie. there is a total of 580 calories in 4 ounces of turkey and two slices of pumpkin pie. how many calories are there in one ounce of turkey and one slice of pumpkin pie

To answer this, you will write a system of equations to represent each scenario.

6x + y = 510            and       4x +2y = 580

Solve the first one for y and substitute it in for y in the second equation.

6x + y = 510
y = -6x +510

4x + 2(-6x +510) = 580
4x - 12x +1020 = 580
     -8x + 1020 = 580
            -1020     -1020
            -8x     = -440
            -8           -8
               x = 55

Each ounce of turkey is 55 calories, and each slice of pie is (510 - 6 x 55) 180 calories.

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