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Linear Equations in One Variable

SAT Math· difficulty 4/5

A store sells T-shirts for 15eachandhoodiesfor15 each and hoodies for 35 each. In one day, 4040 items were sold for a total of $900. How many hoodies were sold?

  • A

    10

  • B

    18

  • C

    15

    check_circle
  • D

    25

Explanation

Let hh = hoodies, tt = shirts. h+t=40h + t = 40 and 35h+15t=90035h + 15t = 900. Substitute: 35h+15(40−h)=90035h + 15(40 - h) = 900, so 20h=30020h = 300 and h=15h = 15.

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