MATH SOLVE

5 months ago

Q:
# 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

Accepted Solution

A:

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.

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.