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Maria and Curtis both study a second language. Maria studies German for 3 hours per week, and Curtis studies French for 2 hours per week. Curtis has already studied for 4 hours when Maria begins her studying. After how many weeks will they have studied the same number of hours?

Answer :

Final answer:

After setting up an equation based on the hours Maria and Curtis study their second languages, it is determined that after 4 weeks, they will have studied the same number of hours.

Explanation:

We need to find out after how many weeks Maria and Curtis will have studied the same number of hours for their respective languages, German and French.

Maria studies German for 3 hours per week, and Curtis studies French for 2 hours per week. Curtis has a head start with 4 hours already studied before Maria starts.

Let's define 'x' as the number of weeks they both study for. We can set up an equation based on the given information:

  • Maria's total hours: 3x hours
  • Curtis's total hours: 2x + 4 hours

To find out when they have studied the same number of hours, we set Maria’s total hours equal to Curtis’s total hours:

3x = 2x + 4

Solving the equation for 'x' we get:

  • 3x = 2x + 4
  • 3x - 2x = 4
  • x = 4

So, after 4 weeks, they will have studied the same number of hours.

Thanks for taking the time to read Maria and Curtis both study a second language Maria studies German for 3 hours per week and Curtis studies French for 2 hours per week. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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