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Linear Equations in One Variable

SAT Math· difficulty 5/5

A printer prints \300worthofcolorpagesandB/Wpages.Colorisworth of color pages and B/W pages. Color is$0.50perpage;B/Wisper page; B/W is$0.10.Totalpages. Total pages = 1500$. How many color pages?

  • A

    375

    check_circle
  • B

    300

  • C

    500

  • D

    400

Explanation

c+b=1500c + b = 1500, 0.50c+0.10b=3000.50c + 0.10b = 300. Sub: 0.50c+0.10(1500−c)=3000.50c + 0.10(1500-c) = 300 → 0.40c+150=3000.40c + 150 = 300 → c=375c = 375.

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