Shiyun has 5 times as many scones as Tiffany. The total number of Shiyun's and Tiffany's scones is 8 times of Barbara's. Shiyun and Tiffany have 126 scones more than Barbara's. How many more scones does Shiyun have than Tiffany?
| Shiyun |
Tiffany |
Barbara |
| 5x4 |
1x4 |
|
| 8x3 |
1x3 |
| 20 u |
4 u |
3 u |
The total number of scones that Shiyun and Tiffany have is repeated. Make the total number of scones that Shiyun and Tiffany have the same. LCM of 6 and 8 is 24.
Total number of scones that Shiyun and Tiffany have
= 20 u + 4 u
= 24 u
Number of more scones that Shiyun and Tiffany have than Barbara
= 24 u - 3 u
= 21 u
21 u = 126
1 u = 126 ÷ 21 = 6
Number of more scones that Shiyun has than Tiffany
= 20 u - 4 u
= 16 u
= 16 x 6
= 96
Answer(s): 96
