30-11-2014
Mathematics

Answered

Bob bought 24 hockey tickets for $83. Adult tickets cost $5.50 and child tickets cost $2.00. How many of each did he buy . Show your work .

Answer :

30-11-2014

[tex]x-\ number\ of\ adult\ tickets\\\\ y-\ number\ of\ children\ tickets\\\\ x+y=24\ \ \ \ | x=24-y\\\\ x*5,5+2*y=83\\\\ 5,5(24-y)+2y=83\\\\132-5,5y+2y=83\\\\ 132-3,5y=83\ \ \ \ | subtract\ 132\\\\ -3,5y=-49\ \ \ | divide\ by\ -3,5\\\\y=14\\\\ x=10\\\\ He\ bought\ 10\ adult\ tickets\ and\ 14\ children\ tickets. [/tex]

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