7. A long-term care resident is on a sodium-restricted diet and is limited to 1500 mg of sodium (Na) each day. A whole-grain cracker has 0.16 g of sodium. How many crackers can she eat and stay below the 1500 1500 mg of sodium?
7. A long-term care resident is on a sodium-restricted diet and is limited to 1500 mg of sodium (Na) each day. A whole-grain cracker has 0.16 g of sodium. How many crackers can she eat and stay below the 1500 1500 mg of sodium?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem 7: Sodium-Restricted Diet**
A long-term care resident is on a sodium-restricted diet and is limited to 1500 mg of sodium (Na) each day. A whole-grain cracker contains 0.16 g of sodium. How many crackers can she eat and stay below the 1500 mg of sodium limit?
**Solution Process:**
1. **Convert grams to milligrams:**
- 0.16 g of sodium per cracker is equal to 160 mg (since 1 g = 1000 mg).
2. **Calculate the number of crackers:**
- To find how many crackers can be consumed without exceeding 1500 mg of sodium, divide the total daily sodium limit by the sodium content per cracker:
\[
\text{Number of crackers} = \frac{1500 \text{ mg}}{160 \text{ mg per cracker}}
\]
3. **Calculation:**
\[
\frac{1500}{160} = 9.375
\]
Since she cannot eat a fraction of a cracker, she can safely consume 9 whole crackers to stay within the limit.
**Summary:**
The resident can eat up to 9 whole-grain crackers per day to remain within her sodium limit of 1500 mg.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83a23424-5344-41a9-a691-10c8286df783%2F0566c8ea-10c9-46d6-bae1-1f6991e46ede%2Fdysj9lv.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 7: Sodium-Restricted Diet**
A long-term care resident is on a sodium-restricted diet and is limited to 1500 mg of sodium (Na) each day. A whole-grain cracker contains 0.16 g of sodium. How many crackers can she eat and stay below the 1500 mg of sodium limit?
**Solution Process:**
1. **Convert grams to milligrams:**
- 0.16 g of sodium per cracker is equal to 160 mg (since 1 g = 1000 mg).
2. **Calculate the number of crackers:**
- To find how many crackers can be consumed without exceeding 1500 mg of sodium, divide the total daily sodium limit by the sodium content per cracker:
\[
\text{Number of crackers} = \frac{1500 \text{ mg}}{160 \text{ mg per cracker}}
\]
3. **Calculation:**
\[
\frac{1500}{160} = 9.375
\]
Since she cannot eat a fraction of a cracker, she can safely consume 9 whole crackers to stay within the limit.
**Summary:**
The resident can eat up to 9 whole-grain crackers per day to remain within her sodium limit of 1500 mg.
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