At southern states university ssu there are 719 students taking finite mathematics or statistics. 328 are taking finite mathemat
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Answer:
Lagrange Theorem
Step-by-step explanation:
The Lagrange Theorem:
Let G be a finite group and T be a subgroup of G. Then the order of T divides the Order of group G.
This can be written as:
If , then,
.
Possible Subgroups
Now, we are given a group with order 5. We have to find all possible subgroups.
So, the possible subgroup are: groups with order 1, group with order 5
We are given a group with order 6.
Possible subgroups are: group of order 1, group of order 2, group of order 3 and group of order 4.
The price of 1 senior citizen ticket is $ 8
<em><u>Solution:</u></em>
Let "x" be the price of 1 senior citizen ticket
Let "y" be the price of 1 child ticket
<em><u>The school sold three senior citizen tickets and one child ticket for a total of $38</u></em>
Therefore, we frame a equation as:
three senior citizen tickets x price of 1 senior citizen ticket + one child ticket x price of 1 child ticket = 38
3x + y = 38 --------- eqn 1
<em><u>The school took an $52 on the second day by selling three senior citizen tickets and two child tickets</u></em>
Therefore, we frame a equation as:
three senior citizen tickets x price of 1 senior citizen ticket + two child ticket x price of 1 child ticket = 52
3x + 2y = 52 ---------- eqn 2
<em><u>Solve eqn 1 and eqn 2</u></em>
<em><u>Subtract eqn 1 from eqn 2</u></em>
3x + 2y - 3x - y = 52 - 38
<h3>y = 14</h3><em><u>Substitute y = 14 in eqn 1</u></em>
3x + y = 38
3x + 14 = 38
3x = 24
<h3>x = 8</h3>Thus the price of 1 senior citizen ticket is $ 8