For the first blank, I would suggest it is Pours out of you, and for the second blank, I'd say diffuse. Hope this is helpful; please let me know if I am correct.
Response:
5 groups of 3
Clarification:
Let x represent the count of four-student groups and y denote the number of five-student groups, resulting in the equation 4x + 5y = 39 (since each group of four has 4 students and each group of five comprises 5 students, yielding a total of 39 students). Additionally, we know that x + y = 9 (indicating the total number of groups is 9).
Next, employ these two equations to isolate and solve for y, eliminating x. There are several methods for achieving this; however, I will utilize subtraction.
4x - 5y = 39
x + y = 9
The second equation
x + y = 9
can be manipulated into
4x + 4y = 36
through multiplying the entire equation by four. This is necessary to ensure x becomes zero. The first equation features 4x.
Therefore, it is now formulated as
4x - 5y = 39 MINUS
4x + 4y = 36
___________
y = 3
To verify the calculation, the remaining 6 four-student groups (totaling 24 students) plus the 3 five-student groups (adding 15 students) sums to 39
