So let’s make the smaller number x and the larger one y....
Set up your equation by following the words signaling mathematical operations from the question.
y = 8 + 4x
y + 4x = 40
Now let’s bring all variables to one side and solve the system if equations with elimination...
y - 4x = 8
y + 4x = 40
Add the equations:
2y = 48
y = 24
Plug the y-value into one of the original equations:
24 = 8 + 4x
16 = 4x
4x = 16
x = 4
And there you have it! The smaller number [x] is 4 and the larger number [y] is 24.
Answer:
1 2
2 3
Step-by-step explanation:
Answer:
The north campus had 
while the south campus had 
.
Step-by-step explanation:
The question stated that there are 
students in the merged campus. That's the sum of the number of students in the north and the south campus before the merger.
Let 
denote the number of students in the north campus before the merger. The other 
students would all belong to the south campus before the merger.
Before the merger, 
of the students of the north campus are of music majors. In terms of , that's 
students.
On the other hand, 
of the students of the south campus are of music majors. That corresponds to 
students.
With a similar logic, the number of music students in the merged east campus will be 
.
The question implies that the sum of students in the two campuses should be equal to the number of music students in the east campus. That is:
.
Solve for :
.
In other words, there are students in the north campus and 
students in the south campus before the merger.
Answer:
101.325423729
Step-by-step explanation:
28.4 x 21.05 =597.82
597.82/5.9=101.325423729
