Let's go through this problem step-by-step:

1. Current Tuition and Financial Aid:

   • Current tuition per quarter: $1,150.00
   • Current financial aid per quarter: $1,350.00

2. Tuition Increase:

   • Tuition is expected to increase by 9% next year.
   • To calculate the increased tuition, we multiply the current tuition by 1.09 (which accounts for the 9% increase): $\text{New Tuition} = 1,150 \times 1.09 = 1,253.50$

3. Comparing Financial Aid to New Tuition:

   • New tuition amount: $1,253.50
   • Current financial aid: $1,350.00
   • Since $1,350.00 (financial aid) is greater than $1,253.50 (new tuition), financial aid will be enough to cover the tuition costs.

4. Calculating the Remaining Amount:

   • Remaining financial aid after covering tuition: $\text{Remaining Amount} = 1,350 - 1,253.50 = 96.50$
   • Therefore, you will have $96.50 left over after covering tuition.

Summary

• Answer for Box 1: Yes, financial aid will be enough.
• Answer for Box 2: 96.50

Would you like further details on any part of this process, or do you have additional questions?

Additional Questions for Practice

1. What would the remaining amount be if tuition increased by 10% instead of 9%?
2. If financial aid also increased by 5%, what would be the new remaining amount?
3. How much financial aid would be needed to cover tuition if the tuition increase were 15%?
4. What percentage increase in financial aid would be necessary to have $200 left over after tuition costs?
5. How much more financial aid would be needed if tuition increased by 20%?

Tip:

When working with percentage increases, multiplying the original amount by $1 + \text{percentage increase as a decimal}$ quickly gives you the new amount.