Two-step inequality word problems

Question

Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 points. In the last 4 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points. Write an inequality to determine the number of points per inning, p, Kim's team could have scored. Find the minimum whole number of points per inning Kim's team could have scored

Answer 1

CURRENT.............NEXT.............NEXT.............NEXT...............LAST

SCORE.................INNING..........INNING..........INNING...........INNING

17..........................0.....................0....................0......................0

6..........................P.....................P....................P......................P

6 + 4P > 17

4P > 17 - 6 (Subtracting 6 from both sides.)

4P > 11

P > 11/4 (Dividing both sides by 4, or you could say multiply both sides by 1/4.)

P > 2 3/4

Since you can't score 3/4 of a point, Kim's team had to score 3 POINTS IN EACH OF THE LAST FOUR INNINGS.

CHECKING:

6 + 4(3) = 6 + 12 = 18, and 18 is one point more than the other team's 17.

Therefore, the SMALLEST VALUE OF P IS 3.

Hope this helps MaKayla.