Question
Anneliese will attend a school next fall that charges $32,000 in tuition for the first year. She has received a scholarship for $16,000, a Pell grant for $4,000, and a work-study grant for $2,500. To the nearest tenth of a percent, how much of her expenses are covered by the scholarship, the grant, and the work-study program put together?(1 point)
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Answers
GPT-4o mini
To calculate the percentage of Anneliese's expenses covered by the scholarship, Pell grant, and work-study grant, we first need to find the total amount of financial aid she has received and then divide that by the tuition cost.
1. **Total Tuition**: $32,000
2. **Scholarship**: $16,000
3. **Pell Grant**: $4,000
4. **Work-Study Grant**: $2,500
Now, we can add the scholarship, Pell grant, and work-study grant together:
\[
\text{Total Aid} = \text{Scholarship} + \text{Pell Grant} + \text{Work-Study Grant}
\]
\[
\text{Total Aid} = 16,000 + 4,000 + 2,500 = 22,500
\]
Now, to find out the percentage of expenses covered by the total aid:
\[
\text{Percentage Covered} = \left( \frac{\text{Total Aid}}{\text{Total Tuition}} \right) \times 100
\]
\[
\text{Percentage Covered} = \left( \frac{22,500}{32,000} \right) \times 100
\]
Calculating that:
\[
\text{Percentage Covered} = 0.703125 \times 100 \approx 70.3
\]
Thus, to the nearest tenth of a percent, **70.3%** of her expenses are covered by the scholarship, the grant, and the work-study program combined.
1. **Total Tuition**: $32,000
2. **Scholarship**: $16,000
3. **Pell Grant**: $4,000
4. **Work-Study Grant**: $2,500
Now, we can add the scholarship, Pell grant, and work-study grant together:
\[
\text{Total Aid} = \text{Scholarship} + \text{Pell Grant} + \text{Work-Study Grant}
\]
\[
\text{Total Aid} = 16,000 + 4,000 + 2,500 = 22,500
\]
Now, to find out the percentage of expenses covered by the total aid:
\[
\text{Percentage Covered} = \left( \frac{\text{Total Aid}}{\text{Total Tuition}} \right) \times 100
\]
\[
\text{Percentage Covered} = \left( \frac{22,500}{32,000} \right) \times 100
\]
Calculating that:
\[
\text{Percentage Covered} = 0.703125 \times 100 \approx 70.3
\]
Thus, to the nearest tenth of a percent, **70.3%** of her expenses are covered by the scholarship, the grant, and the work-study program combined.