Xuan has 4 times as many scones as Gabby. The total number of Xuan's and Gabby's scones is 2 times of Yoko's. Xuan and Gabby have 10 scones more than Yoko's. How many less scones does Yoko have than Xuan?
| Xuan |
Gabby |
Yoko |
| 4x2 |
1x2 |
|
| 2x5 |
1x5 |
| 8 u |
2 u |
5 u |
The total number of scones that Xuan and Gabby have is repeated. Make the total number of scones that Xuan and Gabby have the same. LCM of 5 and 2 is 10.
Total number of scones that Xuan and Gabby have
= 8 u + 2 u
= 10 u
Number of more scones that Xuan and Gabby have than Yoko
= 10 u - 5 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Number of less scones that Yoko has than Xuan
= 8 u - 5 u
= 3 u
= 3 x 2
= 6
Answer(s): 6
