To solve this problem, we first determine the time taken per math problem:

$\text{Time per problem} = \frac{45 \text{ minutes}}{15 \text{ problems}} = 3 \text{ minutes per problem}$

Now, for 10 problems:

$\text{Total time} = 10 \times 3 = 30 \text{ minutes}$

So, Shawna will spend 30 minutes solving tonight’s math problems.

Would you like a step-by-step breakdown or further explanation?

Here are five related questions to practice:

1. If Shawna had to solve 20 problems at the same rate, how long would it take?
2. How many problems can Shawna solve in 60 minutes at this rate?
3. If Shawna speeds up and solves each problem in 2 minutes, how long will 10 problems take?
4. If she solved 25 problems last night, how long did she spend?
5. What fraction of last night’s homework does tonight’s homework represent?

Tip: To solve similar problems, use unit rates to find time per problem before scaling up or down.