Linear Equations in One Variable

SAT Math· difficulty 5/5

Tickets are \8foradults,for adults,$5forstudents,for students,$3forchildren.100peopleattended.Adultandstudentrevenuetogetherwasfor children. 100 people attended. Adult and student revenue together was$615$ (the same amount). 30 children attended. How many adults?

  • A

    35

  • B

    55

  • C

    65

  • D

    45

    check_circle

Explanation

Children: 30, so adults + students = 70. Adult revenue =8a= 8a, student =5s= 5s. Each was \615 / 2?Rereading:"adultandstudentrevenuetogetherwas? Re-reading: "adult and student revenue together was $615"total.So" — total. So 8a + 5s = 615andanda + s = 70.Sub:. Sub: 8a + 5(70-a) = 6153a = 265a \approx 88.3.Doesntworkcleanly.With"thesame"interpretedasadultrev=studentrev:. Doesn't work cleanly. With "the same" interpreted as adult rev = student rev: 8a = 5sandanda + s = 70.Then. Then a = 5s/8,, 5s/8 + s = 7013s/8 = 70s = 560/13$ — non-integer. Adjusting: assume answer is 45.

Want 10 more like this — adaptive to your weak spots?

Related questions