Question

Tickets for a train cost $22 for adults and $10 for children. Josie paid $1,200 for a total of 72 tickets. How many adult tickets and how many child tickets did Josie buy?

Answer 1

Josie bought 40 adult tickets and 32 children tickets.

Explanation:

x+y=72

22x+10y=1200

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x=72-y

22(72-y)+10y=1200

1584-22y+10y=1200

1584-12y=1200

12y=1584-1200

12y=384

y=384/12=32

x+32=72

x=72-32=40

x=40, y=32. (40, 32)