Linear Functions

SAT Math· difficulty 5/5

Tickets cost \10adult,adult,$6child.200ticketssoldforchild. 200 tickets sold for$1640$. Number of children's tickets:

  • A

    6060

  • B

    8080

  • C

    120120

  • D

    9090

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Explanation

10a+6c=164010a + 6c = 1640, a+c=200a + c = 200. From second, a=200ca = 200 - c; 10(200c)+6c=164020004c=1640c=9010(200 - c) + 6c = 1640 \Rightarrow 2000 - 4c = 1640 \Rightarrow c = 90.

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