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 [tex]4x + y = 600[/tex], also [tex]y = 600 - 4x[/tex]
Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.
This means that:
[tex]x + 4y = 300[/tex]
From the first equation, we have that [tex]y = 600 - 4x[/tex]. So
[tex]x + 4(600 - 4x) = 300[/tex]
[tex]x + 2400 - 16x = 300[/tex]
[tex]15x = 2100[/tex]
[tex]x = \frac{2100}{15}[/tex]
[tex]x = 140[/tex]
[tex]y = 600 - 4x = 600 - 4*140 = 40[/tex]
1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.
