Question

Tom went with his dad to a shooting range. His dad bought him 10 bullets. For every time he got bullseye, the father gave his son an extra bullet, and after every miss he took one away, to demonstrate how to aim, he would shoot it himself. Tom shot 55 times, after which he ran out of bullets. How many times did Tom hit the bullseye?

Answer 1

Answer: Tom hit the bullseye 23 times .

Explanation:

Let the number of times Tom hit the bullseye be 'x'

Since we have given that

Total number of times Tom shot = 55

Number of times he missed the shot be '55-x'

Number of bullets he already have = 10

According to question, For every time, he got bullseye, the father gave him an extra bullet and after every miss he took one away.

At last he ran out of bullets.

So, it becomes,

`10+1* x-1(55-x)=0\\\\10+x-55+x=0\\\\2x-45=0\\\\2x=45\\\\x=(45)/(2)=22.5\\\\\text{ But number of times can't be in decimal }\\\\So,\ x=23`

Hence, Tom hit the bullseye 23 times .