Question

I'm helping my sister with her math homework. She's stuck on a word problem involving calculating expenses for an aviary. Can you find a similar problem that has already been solved?

Answer 1

Sure! Here's a similar problem involving expenses for an aviary along with a step-by-step solution.

**Problem:**
An aviary is being built for exotic birds. The anticipated expenses include:

- Construction Costs: $10,000
- Bird Feed (monthly): $200
- Bird Cages (one-time purchase): $4,000
- Maintenance Supplies (monthly): $150

Determine the total initial expenses and the total expenses for the first year, considering both one-time costs and ongoing monthly costs.

**Solution:**

1. **Calculate Initial Expenses:**
- Construction Costs: $10,000
- Bird Cages: $4,000

To find the total initial expenses, we add these costs together:

\[
\text{Total Initial Expenses} = \text{Construction Costs} + \text{Bird Cages}
\]
\[
= 10,000 + 4,000 = 14,000
\]

2. **Calculate Monthly Expenses:**
- Bird Feed: $200 per month
- Maintenance Supplies: $150 per month

Total monthly expenses:

\[
\text{Total Monthly Expenses} = \text{Bird Feed} + \text{Maintenance Supplies}
\]
\[
= 200 + 150 = 350
\]

3. **Calculate Annual Expenses:**
Since there are 12 months in a year, we multiply the total monthly expenses by 12 to find the annual expenses:

\[
\text{Total Annual Expenses} = \text{Total Monthly Expenses} \times 12
\]
\[
= 350 \times 12 = 4,200
\]

4. **Calculate Total Expenses for the First Year:**
Now we combine the total initial expenses and the total annual expenses:

\[
\text{Total Expenses for the First Year} = \text{Total Initial Expenses} + \text{Total Annual Expenses}
\]
\[
= 14,000 + 4,200 = 18,200
\]

**Final Answer:**
- The total initial expenses are $14,000.
- The total expenses for the first year are $18,200.

I hope this helps your sister understand how to break down the problem! If you need further assistance or another example, feel free to ask.