Xuan has 2 times as many cookies as Elyse. The total number of Xuan's and Elyse's cookies is 2 times of Vanessa's. Xuan and Elyse have 6 cookies more than Vanessa's. How many more cookies does Xuan have than Elyse?
| Xuan |
Elyse |
Vanessa |
| 2x2 |
1x2 |
|
| 2x3 |
1x3 |
| 4 u |
2 u |
3 u |
The total number of cookies that Xuan and Elyse have is repeated. Make the total number of cookies that Xuan and Elyse have the same. LCM of 3 and 2 is 6.
Total number of cookies that Xuan and Elyse have
= 4 u + 2 u
= 6 u
Number of more cookies that Xuan and Elyse have than Vanessa
= 6 u - 3 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of more cookies that Xuan has than Elyse
= 4 u - 2 u
= 2 u
= 2 x 2
= 4
Answer(s): 4
