Question

Layne got 9 hits in his first 22 at bats. If his hitting rate remains constant, how many at bats would he have to have to reach 50 hits??

Answer 1

Cross multiply
9/50 22/x
9x=1100
x=122.22
Might have to round up to 123 hits

Answer 2

He would have to hit over 122 bats to reach 50 hits.

Explanation:

Let x represent the number of bats that Layne would hit to get 50 hits.

Layne got 9 hits in his first 22 at bats. It means that his hitting rate would be 9/22.

If his hitting rate remains constant, then the number of bats that Layne would hit to get 50 hits would be

9/22 × x = 50

0.409x = 50

Dividing the left hand side and the right hand side of the equation by 0.409, it becomes

0.409x/0.409 = 50/0.409

x = 122.2