Xandra has 6 times as many puffs as Opal. The total number of Xandra's and Opal's puffs is 3 times of Lynn's. Xandra and Opal have 28 puffs more than Lynn's. How many less puffs does Lynn have than Xandra?
| Xandra |
Opal |
Lynn |
| 6x3 |
1x3 |
|
| 3x7 |
1x7 |
| 18 u |
3 u |
7 u |
The total number of puffs that Xandra and Opal have is repeated. Make the total number of puffs that Xandra and Opal have the same. LCM of 7 and 3 is 21.
Total number of puffs that Xandra and Opal have
= 18 u + 3 u
= 21 u
Number of more puffs that Xandra and Opal have than Lynn
= 21 u - 7 u
= 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Number of less puffs that Lynn has than Xandra
= 18 u - 7 u
= 11 u
= 11 x 2
= 22
Answer(s): 22
