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Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium. Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium. How much sodium is in 1 oz of chips and how much is in 1 cup of soda?

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate-example-1

1 Answer

5 votes

Answer:

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

Explanation:

This question is solved by a system of equations.

I am going to say that:

x is the amount of sodium in 1oz of chips.

y is the amount of sodium in 1 cup of soda.

Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.

This means that
4x + y = 600, also
y = 600 - 4x

Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.

This means that:


x + 4y = 300

From the first equation, we have that
y = 600 - 4x. So


x + 4(600 - 4x) = 300


x + 2400 - 16x = 300


15x = 2100


x = (2100)/(15)


x = 140


y = 600 - 4x = 600 - 4*140 = 40

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

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