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:
[tex]5x + y = 650[/tex]
Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.
This means that:
[tex]x + 5y = 250[/tex]
From the first equation:
[tex]y = 650 - 5x[/tex]
Replacing in the second
[tex]x + 5(650 - 5x) = 250[/tex]
[tex]x + 3250 - 25x = 250[/tex]
[tex]25x = 3000[/tex]
[tex]x = \frac{3000}{25}[/tex]
[tex]x = 120[/tex]
[tex]y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50[/tex]
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
