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

Answer 1

Answer:

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

Step-by-step 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

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

$x + 3250 - 25x = 250$

$25x = 3000$

$x = \frac{3000}{25}$

$x = 120$

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

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