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Question 8:

"If 350 mg is 30% of the recommended daily amount, how many milligrams of sodium are recommended for the whole day?"

We solve this by writing: $350 \, \text{mg} = 30\% \, \text{of total recommended amount (x)}.$

\text{30% of x} = 0.3x, \quad \text{so } 350 = 0.3x.

Solve for $x$: $x = \frac{350}{0.3} = 1166.\overline{6} \, \text{mg}.$

Thus, the total recommended daily sodium amount is approximately 1166.7 mg.

Question 9:

(a) Convert 2.5 miles to feet:

Using the conversion $1 \, \text{mile} = 5280 \, \text{feet}$: $2.5 \, \text{miles} = 2.5 \times 5280 = 13200 \, \text{feet}.$

Answer: 13200 feet.

(b) Convert 32 quarts to gallons:

Using the conversion $1 \, \text{gallon} = 4 \, \text{quarts}$: $32 \, \text{quarts} = \frac{32}{4} = 8 \, \text{gallons}.$

Answer: 8 gallons.

Question 10:

Chelsee’s Cookies:

• Chelsee makes 24 dozen cookies in 2 hours.
• To find her rate per hour: $\text{Rate} = \frac{\text{Total cookies}}{\text{Total hours}} = \frac{24}{2} = 12 \, \text{dozen cookies per hour}.$

Answer: 12 dozen per hour.

Do you want further clarification or a detailed explanation of these? Let me know!

Here are 5 related questions for practice:

1. If 500 mg is 40% of the recommended daily sodium, how much sodium is recommended daily?
2. Convert 4.3 miles into feet.
3. How many quarts are in 12 gallons?
4. What is the hourly cookie rate if someone bakes 18 dozen cookies in 3 hours?
5. If a recipe needs 7 gallons of water, how many quarts is that?

Tip:

For percentage problems, always start by writing out the relationship clearly as an equation.