Answer :
Answer:
Step-by-step explanation:
We can start solving the problem by using the following equation:
Let x be the number of weeks they have studied.
Maria: 3x hours (since Maria studies 3 hours per week)
Curtis: 2x + 4 hours (since Curtis studies 2 hours per week and has already studied 4 hours)
Now we need to find the point in time when Maria's and Curtis's total number of hours studied is equal.
3x = 2x + 4
Subtracting x from both sides we get:
2x = 4
Dividing both sides by 2 we get:
x = 2
So after 2 weeks, Maria and Curtis will have studied the same number of hours.
Final answer:
The solution requires setting up an equation for the number of study hours for both Maria and Curtis, solving for the point where they are equal. After 4 weeks, they will have studied the same number of hours in their second languages.
Explanation:
The question asks to determine after how many weeks Maria and Curtis will have studied the same number of hours in their respective second languages, given Maria studies German 3 hours per week, and Curtis studies French 2 hours per week, with Curtis having a 4-hour head start.
To solve this, we set up an equation where their total study hours are equal. Maria's total hours after x weeks will be 3x, and Curtis's total hours will be 2x + 4.
To find the week when they have studied the same amount, we equate their hours:
3x = 2x + 4.
Solving for x, we subtract 2x from both sides:
x = 4.
Thus, after 4 weeks, they will have studied the same number of hours in their second languages.
