SOLUTION: Hi,
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2. Define your variables and set up a system of three equations and three unknowns for the fo
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Linear-equations
-> SOLUTION: Hi,
Please help me to solve step-by-step on these questions.
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2. Define your variables and set up a system of three equations and three unknowns for the fo
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Question 1112323: Hi,
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2. Define your variables and set up a system of three equations and three unknowns for the following problem, then solve the system and answer the question. Show all your work!
Tickets for the senior play at Apopka High School cost $3 for children, $5 for students, and $8 for adults. There were 800 tickets sold for a total of $4750. The number of adult tickets sold was 50 more than two times the number of children tickets. Find the number of each type of ticket.
You can put this solution on YOUR website! Let = number of chidren's tickets sold
Let = number of student tickets sold
Let = number of adult tickets sold
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(1)
(2)
(3)
--------------------------------
Plug (3) into (1)
(1)
(1)
Plug (3) into (2)
(2)
(2)
(2)
----------------------------------------
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
-----------------------------
and
(3)
(3)
(3)
-------------------------------
(1)
(1)
(1)
--------------------------------
150 children's
300 students
350 adults
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check:
(2)
(2)
(2)
(2)
You can check (1) and (3)