The total amount of sodium in 2 hot dogs and 3 cups of cottage cheese is 4,720mg. The total amount of sodium in 5 hot dogs and 2 cups of cottage cheese is 6,300mg. How much sodium is in a hot dog? How much sodium is in a cup of cottage cheese?

Amount of sodium in a hot dog = 860 mg.

Amount of sodium in a cup of cottage cheese = 1000 mg.

Step-by-step explanation:

Let the amount of sodium in a hot dog be x mg and the amount in a cup of cottage cheese be y mg.

2x + 3y = 4720

5x + 2y = 6300

Multiply the first equation by 2 and the second by 3. We get:

4x + 6y = 9440 (a)

15x + 6y = 18900 (b)

Subtract: (b) - (a):

11x = 9460

x = 9460 / 11 = 860 mg.

To find we we substitute x = 860 in the first original equation:

2 (860) + 3y = 4720

3y = 3000

y = 1000 mg.