Olivia has 3 times as many puffs as Lynn. The total number of Olivia's and Lynn's puffs is 8 times of Yoko's. Olivia and Lynn have 49 puffs more than Yoko's. How many more puffs does Olivia have than Lynn?
| Olivia |
Lynn |
Yoko |
| 3x2 |
1x2 |
|
| 8x1 |
1x1 |
| 6 u |
2 u |
1 u |
The total number of puffs that Olivia and Lynn have is repeated. Make the total number of puffs that Olivia and Lynn have the same. LCM of 4 and 8 is 8.
Total number of puffs that Olivia and Lynn have
= 6 u + 2 u
= 8 u
Number of more puffs that Olivia and Lynn have than Yoko
= 8 u - 1 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Number of more puffs that Olivia has than Lynn
= 6 u - 2 u
= 4 u
= 4 x 7
= 28
Answer(s): 28
