Mathematics

Question

At the North Fair you earn 9 points for each bull's eye you hit, but you lose 7 points for each miss. After 25 tries, Linda has 33 points. How many hits did she have?

2 Answer

  • If she'd had 25 hits, her score would have been 225. Every miss reduces this by 16. The total reduction was 225 - 33 (i.e., 192), which represents 192/16 (12) misses. She had 13 hits, scoring 117 but 12 misses, losing 84. Net score 117 - 84 = 3.03
  • Answer: There are 13 hits done by her.

    Step-by-step explanation:

    Let the number of hits be x

    Let the number of misses be 25-x

    Number of points for each bull's eye hit = 9

    Number of points she misses = 7

    Total points she got = 33 points

    According to question,

    [tex]9(x)-7(25-x)=33\\9x-175+7x=33\\\\16x=33+175\\\\16x=208\\\\x=\frac{208}{16}\\\\x=13[/tex]

    Hence, there are 13 hits done by her.

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