Question

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?

Answer 1

Answer:

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

Step-by-step 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

$x + 4(600 - 4x) = 300$

$x + 2400 - 16x = 300$

$15x = 2100$

$x = \frac{2100}{15}$

$x = 140$

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

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