It takes grace 12 minutes less than three times as much time do do her homework as it takes Jordan to do the same homework. If they spend 48 minutes in total how much time doe it take grace to do her homework
g = 3j-12
g+j = 48
Now just solve for g.
Let's assume that it takes Jordan x minutes to do his homework.
According to the given information, Grace takes 12 minutes less than three times as much time as Jordan to do her homework. Therefore, Grace takes (3x - 12) minutes to do her homework.
We also know that their total combined time is 48 minutes. So, we can write the equation:
x + (3x - 12) = 48
Combining like terms:
4x - 12 = 48
Adding 12 to both sides of the equation:
4x = 60
Dividing both sides by 4:
x = 15
Hence, it takes Jordan 15 minutes to do his homework.
Substituting the value of x back into the equation, we can find Grace's time:
3x - 12 = 3(15) - 12 = 45 - 12 = 33
Therefore, it takes Grace 33 minutes to do her homework.
To find out how much time it takes Grace to do her homework, we can follow these steps:
Step 1: Let's assign a variable to Jordan's time to complete the homework. Let's say Jordan takes x minutes.
Step 2: According to the question, Grace takes 12 minutes less than three times the amount of time Jordan takes. So, Grace's time can be represented as 3x - 12 minutes.
Step 3: The total time spent on homework by both Grace and Jordan is given as 48 minutes, so we can write the equation: x + (3x - 12) = 48.
Step 4: Simplify the equation: 4x - 12 = 48.
Step 5: Add 12 to both sides of the equation: 4x = 60.
Step 6: Divide both sides of the equation by 4: x = 15.
Therefore, Jordan takes 15 minutes to do his homework.
Step 7: We can now substitute the value of x into the expression for Grace's time: 3x - 12 = 3(15) - 12 = 45 - 12 = 33.
Therefore, Grace takes 33 minutes to do her homework.
Thus, it takes Grace 33 minutes to do her homework.