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 to
tal 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?
1 answer:
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 , also
Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.
This means that:
From the first equation, we have that . So
1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.
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And we know that ground covered, is the same for both, therefore, we also know that 1400(2πr) = 500(2πr + 9).
so, how much ground did they cover anyway?
well, we could use either, since we know what the radius is, hmmmm let's use say the small wheel's circumference,
now, the circumference of the smaller wheel, will just be C = 2πr, with a radius of "r".
we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.
after Thomas cycled for a while, the large did 500 revolutions, or times around, whilst the small one did 1400, since it's smaller. On that time, they covered however, the same amount of ground, since they're on the same bike.
The amount covered by the small one in 1400 cycles, is 1400(2πr), that's how much ground it covered.
The amount covered by the large one in 500 cycles, is 500(2πr + 9).
And we know that ground covered, is the same for both, therefore, we also know that 1400(2πr) = 500(2πr + 9).
so, how much ground did they cover anyway?
well, we could use either, since we know what the radius is, hmmmm let's use say the small wheel's circumference,