Cindy has 3 times as many puffs as Wendy. The total number of Cindy's and Wendy's puffs is 5 times of Xuan's. Cindy and Wendy have 176 puffs more than Xuan's. How many more puffs does Cindy have than Wendy?
| Cindy |
Wendy |
Xuan |
| 3x5 |
1x5 |
|
| 5x4 |
1x4 |
| 15 u |
5 u |
4 u |
The total number of puffs that Cindy and Wendy have is repeated. Make the total number of puffs that Cindy and Wendy have the same. LCM of 4 and 5 is 20.
Total number of puffs that Cindy and Wendy have
= 15 u + 5 u
= 20 u
Number of more puffs that Cindy and Wendy have than Xuan
= 20 u - 4 u
= 16 u
16 u = 176
1 u = 176 ÷ 16 = 11
Number of more puffs that Cindy has than Wendy
= 15 u - 5 u
= 10 u
= 10 x 11
= 110
Answer(s): 110
