Problem: the directors of a dance show expect many students to participate but don’t yet know how many students will come. the directors need 7 students to work on the technical crew. the rest of the students work on dance routines in groups of 9. for the show to work, they need at least 6 full groups working on dance routines. 1. write and solve an inequality to represent this situation. 2. write a sentence to the directors about the number of students they need.

1. 7 + 9x ≥ 54

2. The minimum number of students required are 5.

Step-by-step explanation:

It is given that 7 students are in the technical crew.

Let, the number of students in a group = x

Also, the rest of the students work in dance routines in groups of 9 i.e. total number of students in dance routines is 9x.

Thus, total number of students = 7 + 9x.

As, at least 6 groups are needed i.e. minimum number of students needed are 6×9 = 54.

This gives us the relation,

7 + 9x ≥ 54

i.e. 9x ≥ 54 - 7

i.e. 9x ≥ 47

i.e. x ≥ 5

Hence, the minimum number of students required are 5.

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068