Linear Equations in One Variable

SAT Math· difficulty 3/5

A theater sells adult tickets for \12andchildticketsforand child tickets for$7.Oneevening,200ticketsweresoldforatotalof. One evening, 200 tickets were sold for a total of $1{,}830$. How many adult tickets were sold?

  • A

    76

  • B

    86

    check_circle
  • C

    104

  • D

    114

Explanation

a+c=200a + c = 200 and 12a+7c=183012a + 7c = 1830. Substitute c=200ac = 200 - a: 12a+7(200a)=183012a + 7(200 - a) = 18305a+1400=18305a + 1400 = 1830a=86a = 86.

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