Math / Numbers & Operations

QuestionShawna does her math homework every night. Last night, Shawna spent 45 minutes solving 15 math problems. Tonight, she needs to solve 10 math problems.
If she does them at the same rate, how many minutes will Shawna spend solving tonight's math problems? $\square$ minutes

Studdy Solution

STEP 1

1. Shawna solves math problems at a constant rate.
2. Last night, Shawna solved 15 math problems in 45 minutes.
3. Tonight, she needs to solve 10 math problems.
4. We need to determine the time it will take Shawna to solve 10 problems at the same rate.

STEP 2

1. Determine Shawna's rate of solving problems.
2. Calculate the time needed for 10 problems using the rate.

STEP 3

Calculate the rate at which Shawna solves problems by dividing the total time spent by the number of problems solved.
$\text{Rate} = \frac{45 \text{ minutes}}{15 \text{ problems}} = 3 \text{ minutes per problem}$

STEP 4

Use the rate to calculate the time needed to solve 10 problems.
$\text{Time for 10 problems} = 10 \text{ problems} \times 3 \text{ minutes per problem} = 30 \text{ minutes}$
The number of minutes Shawna will spend solving tonight's math problems is:
$\boxed{30 \text{ minutes}}$

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