Question

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 5 oz of chips and drank 1 cup of soda for a

total of 650 mg of sodium. Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium. How much sodium is
in 1 oz of chips and how much is in 1 cup of soda?

Answer 1

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.

Explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of mg of sodium in 1 oz of chips.

y is the number of mg of sodium in a cup of soda.

Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.

This means that:

`5x + y = 650`

Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.

This means that:

`x + 5y = 250`

From the first equation:

`y = 650 - 5x`

Replacing in the second

`x + 5(650 - 5x) = 250`

`x + 3250 - 25x = 250`

`25x = 3000`

`x = (3000)/(25)`

`x = 120`

`y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50`

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.