By eating 1 cracker, 1 pretzel, and 1 cookie, one would ingest $149 \mathrm{mg}$ of sodium. By eating 8 pretzels and 8 cookies, one would ingest $936 \mathrm{mg}$ of sodium. By eating 6 crackers and 7 pretzels, one would ingest $535 \mathrm{mg}$ of sodium. How many $\mathrm{mg}$ of sodium are there in one pretzel?
A) $50 \mathrm{mg}$
B) $48 \mathrm{mg}$
C) $49 \mathrm{mg}$
D) $47 \mathrm{mg}$

Question

Quizplus · Accepted Answer

Let the amount of sodium in a cracker, pretzel, and cookie be $c$, $p$, and $k$ mg respectively. The given information translates to:1. $c + p + k = 149$2. $8p + 8k = 936$3. $6c + 7p = 535$From equation 2, dividing by 8 gives $p + k = 117$. Subtracting this from equation 1 gives $c = 32$. Substituting $c = 32$ into equation 3 and solving for $p$ gives $p = 49$.

By Eating 1 Cracker, 1 Pretzel, and 1 Cookie, One 149mg149 \mathrm{mg}149mg

By Eating 1 Cracker, 1 Pretzel, and 1 Cookie, One $149 \mathrm{mg}$