Answer: There are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.
Step-by-step explanation:
Since we have given that
Number of days the meeting is going on = 3 days
Number of athletes = 117
Number of coaches = 7
Number of judges = 4
Number of bottles given to each athlete each day = 4
Total number of bottles total athlete for 3 days will get is given by
[tex]117\times 4\times 3\\\\=1404[/tex]
Number of bottles given to each coach each day = 3
Total number of bottles total coach for 3 days will get is given by
[tex]7\times 3\times 3\\\\=63[/tex]
Number of bottles given to each judge each day = 2
Total number of bottles total judge for 3 days will get is given by
[tex]4\times 3\times 2\\\\=24[/tex]
Number of cases of water bottle is given to athletes is given by
[tex]\frac{1404}{24}[/tex]
Number of cases of water bottle is given to coaches is given by
[tex]\frac{63}{24}[/tex]
Number of cases of water bottle is given to judges is given by
[tex]\frac{24}{24}[/tex]
We need to find the fewer number of cases that all athlete , all coaches and all judges will get
[tex]\text{L.C.M. of }\frac{1404}{24},\frac{63}{24},\frac{24}{24}\\\\=\frac{L.C.M.\ of\ 1404,63,24}{H.C.F.\ of\ 24,24,24}\\\\=\frac{19656}{24}\\\\=819[/tex]
Hence, there are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.
Answer: 21 cases (approx)
Step-by-step explanation:
Here, The total number of athletes = 117,
The total number of coaches = 7
And, The total number of judges = 4
Also, The water bottles consumed by, One athletes = 4
One Coach = 3
One judge = 2
Thus, the total bottles consumed by all = bottles consumed by 117 athletes + bottles consumed by 7 coaches + bottles consumed by 4 judges.
= 117 × 4 + 7 × 3 + 4 × 2
= 468 + 21 + 8
= 497
Thus, the total number of bottles = 497.
Since, One case of bottled water contains 24 bottles.
Therefore total number of cases = 497/24 = 20.7083333333 ≈ 21
⇒ The fewest number of cases = 21 (approx)
