Q2. 1000 tickets were sold. Adult tickets cost $85, children's cost $45, and a total of $7300 was collected. How many tickets of each kind were sold? Hint: Let x be the number of adult tickets. Let y be the number of children's tickets. By using Matrix Inversion Method and Cramer’s Rule.
Answers
Answered by
16
Children = 300
a = Adult
c = Children
Then- a + c
= 1000 ---------------------------(1)
8.50
a + 4.50
c = 7300 -----------(2)
Solve the equation (1) for c
c = 1000 − a
Substitute the value of c in equation (2)
8.50
a + 4.50 ( 1000 − a ) = 7300
8.50
a + 4500
−
4.50
a
)
=
7300
4
a
=
7300
−
4500
=
2800
a
=
2800
4
=
700
Substitute the value of a in equation (1)
700
+
c
=
1000
c
=
1000
−
700
=
300
Answered by
3
Answer:
1000 tickets were sold. Adult tickets cost $85, children's cost $45, and a total of $7300 was collected. How many tickets of each kind were sold? Hint: Let x be the number of adult tickets. Let y be the number of children's tickets. By using Matrix Inversion Method and Cramer’s Rule.
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