Solve.
-Some people must eat a low-sodium diet with no more than 2000 mg of sodium per day. By eating 1 cracker, 1 pretzel, and 1 cookie, a person would ingest 149 mg of sodium. If a person ate 8 pretzels and 8 cookies, he or she
Would ingest 936 mg of sodium. By eating 6 crackers and 7 pretzels, the person would take in 535 mg of sodium.Find the amount of sodium in each. Which of the following is true?
A) A cracker has 30 mg of sodium.
B) A cookie has 71 mg of sodium.
C) A pretzel has 49 mg of sodium.
D) None of these

Question

Quizplus · Accepted Answer

To solve for the sodium content in each item, we can set up a system of equations based on the information given:1. Let c represent the sodium in a cracker, p represent the sodium in a pretzel, and k represent the sodium in a cookie.2. From the first scenario, we have: c + p + k = 149 mg of sodium.3. From the second scenario, we have: 8p + 8k = 936 mg of sodium, which simplifies to p + k = 117 mg of sodium when divided by 8.4. From the third scenario, we have: 6c + 7p = 535 mg of sodium.By solving these equations, we find that a pretzel (p) has 49 mg of sodium, making option C correct.

Solve. -Some People Must Eat a Low-Sodium Diet with No More