SOLUTION: tickets to a school basketball game cost $4 for students and $7 for adults. At the end of the night, 168 tickets are sold for a total of $861. How many student tickets were sold

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Question 1150324: tickets to a school basketball game cost $4 for students and $7 for adults. At the end of the night, 168 tickets are sold for a total of $861. How many student tickets were sold
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

Equation


    4*x + 7*(168-x) = 861


Solution    x = %28861-7%2A168%29%2F%284-7%29 = 105.    ANSWER

Solved.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of student tickets sold
Let +b+ = number of adult tickets sold
-----------------------------------------------
(1) +a+%2B+b+=+168+
(2) +4a+%2B+7b+=+861+
------------------------------
Multiply both sides of (1) by +4+ and
subtract (1) from (2)
(2) +4a+%2B+7b+=+861+
(1) +-4a+-+4b+=+-672+
------------------------------
+3b+=+189+
+b+=+63+
and
(1) +a+%2B+b+=+168+
(1) +a+%2B+63+=+168+
(1) +a+=+105+
105 student tickets were sold
-----------------------------------
check:
(2) +4a+%2B+7b+=+861+
(2) +4%2A105+%2B+7%2A63+=+861+
(2) +420+%2B+441+=+861+
(2) +861+=+861+
OK