Xuan has 5 times as many cupcakes as Jane. The total number of Xuan's and Jane's cupcakes is 2 times of Nicole's. Xuan and Jane have 6 cupcakes more than Nicole's. How many more cupcakes does Xuan have than Jane?
| Xuan |
Jane |
Nicole |
| 5x1 |
1x1 |
|
| 2x3 |
1x3 |
| 5 u |
1 u |
3 u |
The total number of cupcakes that Xuan and Jane have is repeated. Make the total number of cupcakes that Xuan and Jane have the same. LCM of 6 and 2 is 6.
Total number of cupcakes that Xuan and Jane have
= 5 u + 1 u
= 6 u
Number of more cupcakes that Xuan and Jane have than Nicole
= 6 u - 3 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of more cupcakes that Xuan has than Jane
= 5 u - 1 u
= 4 u
= 4 x 2
= 8
Answer(s): 8
