Xandra has 3 times as many croissants as Gwen. The total number of Xandra's and Gwen's croissants is 5 times of Mary's. Xandra and Gwen have 128 croissants more than Mary's. How many more croissants does Xandra have than Gwen?
| Xandra |
Gwen |
Mary |
| 3x5 |
1x5 |
|
| 5x4 |
1x4 |
| 15 u |
5 u |
4 u |
The total number of croissants that Xandra and Gwen have is repeated. Make the total number of croissants that Xandra and Gwen have the same. LCM of 4 and 5 is 20.
Total number of croissants that Xandra and Gwen have
= 15 u + 5 u
= 20 u
Number of more croissants that Xandra and Gwen have than Mary
= 20 u - 4 u
= 16 u
16 u = 128
1 u = 128 ÷ 16 = 8
Number of more croissants that Xandra has than Gwen
= 15 u - 5 u
= 10 u
= 10 x 8
= 80
Answer(s): 80
