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?

Answer 1

Answer: There are 13 hits done by her.

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,

`9(x)-7(25-x)=33\\9x-175+7x=33\\\\16x=33+175\\\\16x=208\\\\x=(208)/(16)\\\\x=13`

Hence, there are 13 hits done by her.

Answer 2

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