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
Mathematics
ara21montalvo
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

1. User Answers brivera
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 
2. User Answers RenatoMattice
Answer: There are 13 hits done by her.
Stepbystep explanation:
Let the number of hits be x
Let the number of misses be 25x
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(25x)=33\\9x175+7x=33\\\\16x=33+175\\\\16x=208\\\\x=\frac{208}{16}\\\\x=13[/tex]
Hence, there are 13 hits done by her.