Tammy has 6 times as many tarts as Opal. The total number of Tammy's and Opal's tarts is 3 times of Shiyun's. Tammy and Opal have 112 tarts more than Shiyun's. How many less tarts does Shiyun have than Tammy?
| Tammy |
Opal |
Shiyun |
| 6x3 |
1x3 |
|
| 3x7 |
1x7 |
| 18 u |
3 u |
7 u |
The total number of tarts that Tammy and Opal have is repeated. Make the total number of tarts that Tammy and Opal have the same. LCM of 7 and 3 is 21.
Total number of tarts that Tammy and Opal have
= 18 u + 3 u
= 21 u
Number of more tarts that Tammy and Opal have than Shiyun
= 21 u - 7 u
= 14 u
14 u = 112
1 u = 112 ÷ 14 = 8
Number of less tarts that Shiyun has than Tammy
= 18 u - 7 u
= 11 u
= 11 x 8
= 88
Answer(s): 88
