<PRE><B>Question 485610</B>
400 people 
student costs $2.00 apiece
Adult costs $3.000 apiece.
total collected was $1050.
x = number of student tickets
y = number of adult tickets.
x + y = 400
2x + 3y = 1050
solve simultaneously.
multiply first equation by 2 to get:
2x + 2y = 800
2x + 3y = 1050
subtract first equation from second equation to get:
y = 250
since x + y = 400, then x = 150.
2*150 + 3*250 = 300 + 750 = 1050.
number of child tickets is 150
number of adult tickets is 250


integers are x and x+1
sum of first and 3 times second is 55.
x + 3(x+1) = 55
x + 3x + 3 = 55
4x + 3 = 55
4x = 52
x = 13
x+1 = 14
13 + 3 * 14 = 13 + 42 = 55.



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