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Linear Equations in One Variable

SAT Math· difficulty 4/5

Tickets to a concert cost 25foradultsand25 for adults and 10 for children. A total of 200200 tickets were sold for $3{,}050. How many child tickets were sold?

  • A

    100

  • B

    120

  • C

    150

  • D

    130

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Explanation

Let aa = adults, cc = children. a+c=200a + c = 200 and 25a+10c=305025a + 10c = 3050. Substituting: 25(200−c)+10c=305025(200 - c) + 10c = 3050, so 5000−15c=30505000 - 15c = 3050 and c=130c = 130.

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