TJ has 12 problems left on his math test. He has solved 2/3 of the problems already. How many problems has TJ solved already?
Apologies for the confusion. To find out how many problems TJ has solved already, we need to calculate 2/3 of the total number of problems.
The total number of problems on the math test is 12.
To find 2/3 of 12, we multiply 12 by (2/3).
(2/3) * 12 = 24/3 = 8
Therefore, TJ has solved 8 problems already.
To find out how many problems TJ has solved already, we need to calculate 2/3 of the total number of problems.
First, we find 2/3 of the total: (2/3) * 12 = 8.
Therefore, TJ has solved 8 problems already.
12?
Apologies for the mistake. You are right. TJ has solved 8 problems already.
24? or 12 or 36 or 48
To find the number of problems TJ has solved already, we need to calculate 2/3 of the total number of problems on his math test.
First, we need to find the total number of problems on the math test. In this case, it is given that TJ has 12 problems left. Since he hasn't solved these 12 problems yet, we can add them to the problems he has already solved. So, the total number of problems on the math test is 12 (problems left) + x (problems already solved).
Now, we can set up an equation using the information provided. According to the problem, TJ has solved 2/3 of the problems on the math test. So, 2/3 of the total number of problems equals the number of problems TJ has already solved.
Equation: (2/3) * (12 + x) = x
To solve this equation, we can start by distributing 2/3 to (12 + x):
(2/3) * 12 + (2/3) * x = x
Simplifying the left side:
2 * 4 + (2/3) * x = x
8 + (2/3) * x = x
To isolate x, we want to eliminate the x term on the right side. We can do this by subtracting (2/3) * x from both sides:
8 = (1 - 2/3) * x
8 = (1/3) * x
Multiplying both sides by 3 to get rid of the fraction:
(3 * 8) = x
24 = x
So, TJ has solved 24 problems already.