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Ray Of Light [21]
3 years ago
11

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 3 oz of chips and drank 2 cups of soda for a t

otal of 700 mg of sodium. Jadyn ate 1 oz of chips and drank 3 cups of soda for a total of 350 mg of sodium. How much sodium is in 1 oz of chips and how much is in 1 cup of soda?
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0

Answer:

200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.

Step-by-step explanation:

Let x mg sodium is in 1 oz of chips and and y mg is in 1 cup of soda.

∵ Bryan ate 3 oz of chips and drank 2 cups of soda for a total of 700 mg of sodium.

i.e. 3x + 2y = 700 --------(1),

Jadyn ate 1 oz of chips and drank 3 cups of soda for a total of 350 mg of sodium.

i.e. x + 3y = 350 ---------(2),

Equation (1) - 3 × equation (2),

We get,

2y - 9y = 700 - 1050

-7y = -350

\implies y = \frac{-350}{-7}= 50

From equation (1),

3x + 2(50) = 700

3x + 100 = 700

3x = 700 - 100

3x = 600

\implies x = \frac{600}{3}=200

Hence, 200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.

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