Chloe's Bird Feeder Holds 12 3 4 12 \frac{3}{4} 12 4 3 ​ Pounds Of Birdseed. The Birds Eat 1 1 2 1 \frac{1}{2} 1 2 1 ​ Pounds Of Birdseed Each Day. She Refills The Bird Feeder When There Is Less Than 3 Pounds Of Birdseed Remaining. Which Solution Represents

Chloe's Bird Feeder: A Mathematical Analysis of Birdseed Consumption

In this article, we will delve into the world of mathematics and explore a real-life scenario involving birdseed consumption. Chloe's bird feeder holds a significant amount of birdseed, and the birds eat a substantial amount each day. We will analyze the situation and determine which solution represents the most efficient way to refill the bird feeder.

Chloe's bird feeder holds $12 \frac{3}{4}$ pounds of birdseed. The birds eat $1 \frac{1}{2}$ pounds of birdseed each day. She refills the bird feeder when there is less than 3 pounds of birdseed remaining. We need to find the solution that represents the most efficient way to refill the bird feeder.

Solution 1: Refill the Bird Feeder Daily

One possible solution is to refill the bird feeder daily. This means that Chloe would need to refill the bird feeder every day, as the birds eat $1 \frac{1}{2}$ pounds of birdseed each day.

• Daily Birdseed Consumption: $1 \frac{1}{2}$ pounds
• Daily Refill: $12 \frac{3}{4}$ pounds

However, this solution may not be the most efficient, as it requires Chloe to refill the bird feeder every day.

Solution 2: Refill the Bird Feeder When There is Less Than 3 Pounds of Birdseed Remaining

Another possible solution is to refill the bird feeder when there is less than 3 pounds of birdseed remaining. This means that Chloe would need to refill the bird feeder when the birdseed level falls below 3 pounds.

• Initial Birdseed Level: $12 \frac{3}{4}$ pounds
• Daily Birdseed Consumption: $1 \frac{1}{2}$ pounds
• Refill Threshold: 3 pounds

To determine when the bird feeder needs to be refilled, we can calculate the number of days it takes for the birdseed level to fall below 3 pounds.

Calculating the Number of Days

Let's assume that the bird feeder is initially filled with $12 \frac{3}{4}$ pounds of birdseed. The birds eat $1 \frac{1}{2}$ pounds of birdseed each day. We can calculate the number of days it takes for the birdseed level to fall below 3 pounds by dividing the initial birdseed level by the daily birdseed consumption.

• Initial Birdseed Level: $12 \frac{3}{4}$ pounds
• Daily Birdseed Consumption: $1 \frac{1}{2}$ pounds
• Number of Days: $\frac{12 \frac{3}{4}}{1 \frac{1}{2}}$

To simplify the calculation, we can convert the mixed numbers to improper fractions.

• Initial Birdseed Level: $\frac{51}{4}$ pounds
• Daily Birdseed Consumption: $\frac{3}{2}$ pounds
• Number of Days: $\frac{\frac{51}{4}}{\frac{3}{2}}$

Now, we can simplify the expression by dividing the numerator by the denominator.

• Number of Days: $\frac{51}{4} \div \frac{3}{2} = \frac{51}{4} \times \frac{2}{3} = \frac{51 \times 2}{4 \times 3} = \frac{102}{12} = 8.5$

Since the number of days is 8.5, we can round up to the nearest whole number to ensure that the bird feeder is refilled before the birdseed level falls below 3 pounds.

• Number of Days: 9

In conclusion, the most efficient way to refill Chloe's bird feeder is to refill it when there is less than 3 pounds of birdseed remaining. This solution requires Chloe to refill the bird feeder every 9 days, which is more efficient than refilling it daily.

The final answer is 9.
Chloe's Bird Feeder: A Mathematical Analysis of Birdseed Consumption - Q&A

In our previous article, we analyzed the situation of Chloe's bird feeder and determined that the most efficient way to refill it is to refill it when there is less than 3 pounds of birdseed remaining. In this article, we will answer some frequently asked questions related to this topic.

Q: What is the initial birdseed level in Chloe's bird feeder?

A: The initial birdseed level in Chloe's bird feeder is $12 \frac{3}{4}$ pounds.

Q: How much birdseed do the birds eat each day?

A: The birds eat $1 \frac{1}{2}$ pounds of birdseed each day.

Q: When should Chloe refill the bird feeder?

A: Chloe should refill the bird feeder when there is less than 3 pounds of birdseed remaining.

Q: How often should Chloe refill the bird feeder?

A: Chloe should refill the bird feeder every 9 days, as calculated in our previous article.

Q: What is the most efficient way to refill Chloe's bird feeder?

A: The most efficient way to refill Chloe's bird feeder is to refill it when there is less than 3 pounds of birdseed remaining.

Q: Can we use a different refill threshold?

A: Yes, we can use a different refill threshold. However, we would need to recalculate the number of days it takes for the birdseed level to fall below the new threshold.

Q: How can we calculate the number of days it takes for the birdseed level to fall below a certain threshold?

A: We can calculate the number of days it takes for the birdseed level to fall below a certain threshold by dividing the initial birdseed level by the daily birdseed consumption.

Q: What if the birds eat more or less birdseed each day?

A: If the birds eat more or less birdseed each day, we would need to recalculate the number of days it takes for the birdseed level to fall below the refill threshold.

Q: Can we use a different unit of measurement for the birdseed level?

A: Yes, we can use a different unit of measurement for the birdseed level. However, we would need to convert the initial birdseed level and the daily birdseed consumption to the new unit of measurement.

In conclusion, we have answered some frequently asked questions related to Chloe's bird feeder. We hope that this article has provided you with a better understanding of the situation and the most efficient way to refill the bird feeder.

The final answer is 9.