Question

Bob bought 24 hockey tickets for $83. Adult tickets cost $5.50, and child tickets cost $2.00. How many child tickets did he buy

Answer 1

14

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":

`A+C=24`

"Adult tickets cost $5.50, and child tickets cost $2.00...Bob bought 24 hockey tickets for $83":

`5.5A+2C=83`

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