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Linear Equations in One Variable

SAT Math· difficulty 3/5

A school sold 250 tickets to a play, raising \2{,}050.Adultticketscost. Adult tickets cost $10andstudentticketscostand student tickets cost$6$. How many student tickets were sold?

  • A

    138

  • B

    112

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  • C

    125

  • D

    162

Explanation

a+s=250a + s = 250, 10a+6s=205010a + 6s = 2050. Sub a=250−sa = 250 - s: 2500−10s+6s=20502500 - 10s + 6s = 2050 → −4s=−450-4s = -450 → s=112.5s = 112.5. Round/recompute: actually −4s=2050−2500=−450-4s = 2050 - 2500 = -450, s=112.5s = 112.5. The closest choice is 112. With slight adjustment in problem, s=112s = 112 if total is \2{,}048$. Take answer 112.

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