Gem has 4 times as many puffs as Raeann. The total number of Gem's and Raeann's puffs is 6 times of Gabby's. Gem and Raeann have 200 puffs more than Gabby's. How many less puffs does Gabby have than Gem?
| Gem |
Raeann |
Gabby |
| 4x6 |
1x6 |
|
| 6x5 |
1x5 |
| 24 u |
6 u |
5 u |
The total number of puffs that Gem and Raeann have is repeated. Make the total number of puffs that Gem and Raeann have the same. LCM of 5 and 6 is 30.
Total number of puffs that Gem and Raeann have
= 24 u + 6 u
= 30 u
Number of more puffs that Gem and Raeann have than Gabby
= 30 u - 5 u
= 25 u
25 u = 200
1 u = 200 ÷ 25 = 8
Number of less puffs that Gabby has than Gem
= 24 u - 5 u
= 19 u
= 19 x 8
= 152
Answer(s): 152
