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A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95 and colors cost $10.50. If a total of $310.60 were sold, how many of each type were sold?

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sqdancefan

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Answer:

  • 8 white shirts
  • 22 colored shirts

Step-by-step explanation:

Let c represent the number of colored shirts sold. Then c-14 is the number of white shirts sold. The total revenue is ...

  10.50c +9.95(c -14) = 310.60

  20.45c -139.30 = 310.60 . . . . . . simplify

  20.45c = 449.90 . . . . . . . . . . add 139.30

  c = 22 . . . . . . . . . . . . . . . . . divide by 20.45

  c-14 = 8

22 colored shirts and 8 white shirts were sold.

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