SOLUTION: Alan3354, richmiller TimothyLamb(1494) and any one else please solve it
In a show adult ticket is sold at 1 $ each ticket, and
child ticket
costs 75 cents total 140 tickets ha
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: Alan3354, richmiller TimothyLamb(1494) and any one else please solve it
In a show adult ticket is sold at 1 $ each ticket, and
child ticket
costs 75 cents total 140 tickets ha
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Question 822546: Alan3354, richmiller TimothyLamb(1494) and any one else please solve it
In a show adult ticket is sold at 1 $ each ticket, and
child ticket
costs 75 cents total 140 tickets have
been sold and 150 $ earned, tell how
many each tickets sold? Solution . This statement is correct ? Found 2 solutions by richwmiller, TimothyLamb:Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! ---
a = number of adult tickets
c = number of child tickets
---
total number of tickets sold:
a + c = 140
---
total revenue from ticket sales
1.00a + 0.75c = 150.00
---
system of linear equations:
a + c = 140
1.00a + 0.75c = 150.00
---
c = 140 - a
1.00a + 0.75c = 150.00
---
solve by substitution:
---
1.00a + 0.75c = 150.00
1.00a + 0.75(140 - a) = 150.00
1.00a + 105.00 - 0.75a = 150.00
0.25a = 45.00
a = 45.00/0.25
a = 180
---
c = 140 - a
c = 140 - 180
c = -40
---
answer:
a = number of adult tickets = 180
c = number of child tickets = -40 (it is not possible to sell a negative number of child tickets)
---
so we now have three different methods (matrix, elimination, and substitution), all yielding the same result.
therefore, the problem statement contains an error.
---
please see this answer for the matrix and elimination methods:
http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.822539.html
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
