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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

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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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