Question

students and faculty need to raise $6,042 for a band uniforms. the faculty has already raised $1,708 the students plant to save $ 265 each week . how much will the faculty and students have to save after 5 week? and after 9 weeks?

Answer 1

To determine how much the faculty and students will have raised after 5 weeks and after 9 weeks, we can start with the amount already raised by the faculty and then calculate how much the students will save over the specified number of weeks.

1. **Amount already raised by the faculty:** $1,708.

2. **Amount the students plan to save each week:** $265.

### After 5 weeks:
- **Total amount saved by students after 5 weeks:**
\[
\text{Amount saved in 5 weeks} = 265 \times 5 = 1,325
\]
- **Total amount raised (faculty + students) after 5 weeks:**
\[
\text{Total after 5 weeks} = 1708 + 1325 = 3033
\]

### After 9 weeks:
- **Total amount saved by students after 9 weeks:**
\[
\text{Amount saved in 9 weeks} = 265 \times 9 = 2,385
\]
- **Total amount raised (faculty + students) after 9 weeks:**
\[
\text{Total after 9 weeks} = 1708 + 2385 = 4093
\]

### Summary:
- After **5 weeks**, the total amount raised will be **$3,033**.
- After **9 weeks**, the total amount raised will be **$4,093**.

### Remaining Amount to be Raised:
- To find out how much more is needed after 5 and 9 weeks, we subtract the total amount raised from the goal of $6,042.

#### After 5 weeks:
\[
\text{Remaining amount after 5 weeks} = 6042 - 3033 = 3009
\]

#### After 9 weeks:
\[
\text{Remaining amount after 9 weeks} = 6042 - 4093 = 1949
\]

So, after 5 weeks, they still need **$3,009**, and after 9 weeks, they still need **$1,949**.