The total cost of attending a state university is $19,700 for the first year.

A student’s grandparents will pay half of this cost.
An athletic scholarship will pay another $5,000.

Which amount is closest to the minimum that the student will need to save every month in order to pay off the remaining cost at the end of 12 months?

To determine the minimum amount the student will need to save each month, we can break down the total cost and apply the given contributions from the grandparents and scholarship.

### Step 1: Calculate half of the total cost
The grandparents will cover half of the total cost, so:
\[
\text{Half of the total cost} = \frac{19,700}{2} = 9,850
\]

### Step 2: Subtract the contributions
The grandparents are paying $9,850, and the athletic scholarship covers an additional $5,000.

The total covered amount is:
\[
\text{Total covered amount} = 9,850 + 5,000 = 14,850
\]

### Step 3: Calculate the remaining amount
The student will need to cover the remaining amount, which is:
\[
\text{Remaining amount} = 19,700 - 14,850 = 4,850
\]

### Step 4: Calculate the monthly savings required
To cover the remaining $4,850 over 12 months, the student needs to save:
\[
\text{Monthly savings} = \frac{4,850}{12} = 404.17
\]

### Final Answer:
The student will need to save **$404.17** per month to cover the remaining cost.

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Would you like more details or have any questions about this solution?

Here are 5 related questions for further practice:
1. What would the student's monthly savings be if the scholarship was $6,000?
2. How much would the student need to save if the university cost $22,000 instead?
3. What if the student’s grandparents decided to pay 60% of the total cost?
4. How much would the student need to save if they had only 10 months instead of 12?
5. What if the student received an additional grant of $2,000—how would this affect their monthly savings?

**Tip:** Always calculate the amount you need before dividing it by the number of months to avoid underestimating how much to save each month.

The total cost of attending a state university is $19,700 for the first year. A student’s grandparents will pay half of this cost. An athletic scholarship will pay another $5,000. Which amount is closest to the minimum that the student will need to save every month in order to pay off the remaining cost at the end of 12 months?

Find out how much a student needs to save each month to cover remaining university tuition costs after receiving a $5,000 scholarship and financial help from grandparents. This step-by-step solution uses basic algebra and budget planning techniques. Suitable for students in Grades 6-8.

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