Answer:
14
Step-by-step explanation:
This can be solved by writing 2 equations and solving simultaneously.
Let number of Adult tickets be A, and number of child tickets be C.
"Bob bought 24 hockey tickets":
[tex]A+C=24[/tex]
"Adult tickets cost $5.50, and child tickets cost $2.00...Bob bought 24 hockey tickets for $83":
[tex]5.5A+2C=83[/tex]
Now we can solve the first equation for A and substitute in 2nd equation and get the value of C.
A + C = 24
A = 24 - C
Now,
5.5 A + 2 C = 83
5.5 (24 - C) + 2C = 83
132 - 5.5C + 2C = 83
-3.5 C = 83 - 132
-3.5C = - 49
C = 14
Hence, Bob bought 14 child tickets
