Answer:
The greatest score could they have in the 3rd game is 10 runs
Step-by-step explanation:
- The team played 3 games
- In the first game they scored 18 runs
- In the second they scored 5 fewer runs than the third
- The team scored less then 34 runs in all three games
- We need to find the greatest number of runs they could have in
the 3rd game
- Assume that the team scored x runs in the third game
∵ The team scored 18 runs in the 1st game
∵ The team scored x runs in the 3rd game
∵ The score of the 2nd game is 5 less than the third game
∴ The score of the 2nd game is x - 5 runs
- The team scored in the three games less than 34 runs
∵ The total score in the three games = 18 + x - 5 + x
∵ The total score is less than 34 runs
∴ 18 + x - 5 + x < 34
- Add the like terms in the L.H.S
∴ 2x + 13 < 34
- Subtract 13 from both sides
∴ 2x < 21
- Divide both sides by 2
∴ x < 10.5
∴ The greatest integer less than 10.5 is 10
∴ The greatest number of runs in the 3rd game is 10 runs
The greatest score could they have in the 3rd game is 10 runs
