MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

Answer: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 = 47205x + 2y = 6300Multiply the first equation by 2 and the second by 3. We get:4x + 6y = 9440 (a)15x + 6y = 18900 (b)Subtract: (b) - (a):11x = 9460x = 9460 / 11 = 860 mg.To find we we substitute x = 860 in the first original equation:2(860) + 3y = 47203y = 3000y = 1000 mg.