$500

$625

$750

$1,125

$1,250

Desmond wants to attend a college that costs $15,000 for the first year. Desmond’s family has saved $6,000, and he has applied for a $1,500 scholarship. To have the full amount needed to pay for the year’s tuition, his family will set aside a fixed amount of money each month for the next 12 months.

How much should Desmond’s family save each month for the next 12 months to have enough money to pay for his first year of college?

Move the correct answer to each box. Not all answers will be used.
 
 
 
If Desmond wins the scholarship, his family will need to save a minimum of  per month.

If Desmond does not win the scholarship, his family will need to save a minimum of  per month.

Let's break down the problem.

1. **Total cost for the first year of college** = $15,000
2. **Amount Desmond’s family has already saved** = $6,000
3. **Scholarship amount** = $1,500

### Case 1: If Desmond wins the scholarship
If Desmond wins the $1,500 scholarship, then the remaining amount needed is:
\[
\text{Amount needed} = 15,000 - 6,000 - 1,500 = 7,500
\]
Since Desmond’s family will save this amount over 12 months, the monthly savings will be:
\[
\text{Monthly savings} = \frac{7,500}{12} = 625
\]

### Case 2: If Desmond does not win the scholarship
If Desmond doesn’t win the scholarship, then the remaining amount needed is:
\[
\text{Amount needed} = 15,000 - 6,000 = 9,000
\]
The monthly savings required in this case would be:
\[
\text{Monthly savings} = \frac{9,000}{12} = 750
\]

### Conclusion:
- **If Desmond wins the scholarship**, his family will need to save **$625 per month**.
- **If Desmond does not win the scholarship**, his family will need to save **$750 per month**.

Let me know if you'd like further clarification or details!

---

### Relative Questions:
1. How can Desmond's family reduce their monthly savings goal even further?
2. If Desmond got a $3,000 scholarship instead, how much would his family need to save monthly?
3. What if the total tuition increased to $18,000, how would this affect their savings?
4. If the family decided to save for 24 months instead, how would this change the required monthly amount?
5. How could interest on a savings account help Desmond's family reach their goal?

**Tip:** It's always a good idea to set aside a bit more than the exact amount needed in case of unexpected expenses.

Desmond wants to attend a college that costs $15,000 for the first year. Desmond’s family has saved $6,000, and he has applied for a $1,500 scholarship. To have the full amount needed to pay for the year’s tuition, his family will set aside a fixed amount of money each month for the next 12 months. How much should Desmond’s family save each month for the next 12 months to have enough money to pay for his first year of college? If Desmond wins the scholarship, his family will need to save a minimum of per month. If Desmond does not win the scholarship, his family will need to save a minimum of per month.

Learn how to calculate how much Desmond’s family needs to save monthly for his college tuition. This problem involves basic arithmetic and division, suitable for Grades 6-8, and includes scenarios with and without a $1,500 scholarship.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation