Answer:
x = 34; y = 14
Step-by-step explanation:
Step 1: Make the equations
x + y = 48
x - y = 20
Step 2: Solve the equations
x + y = 48
x - y = 20
2x = 68
x = 34
34 + y = 48
y = 14
The geometric sequence is 24,12,6,3, and then 0
So, the ration is 17:3, you know that. Therefore, the change from # of students to the 17 is the same change as # teachers to 3. Knowing this, you also know that the total # of people ihas the same change as the total ratio. So 17+3 = 20. 740/20 = 37. So the change is 37. 3x37= 111 17x37=629
You can check to make sure this answer is correct by adding the two final numbers. 111+629 = 740. (Some find it easier to see lined up really pretty)
17 -- 3 total 20
x -- y total 740
Or, if you are visual, look at the picture I drew:
<span># of ways to select 2 red balls: 5C2 = 10
# of random pairs of balls: 12C2 = 66</span>
