Jade has 6 times as many tarts as Betty. The total number of Jade's and Betty's tarts is 4 times of Fanny's. Jade and Betty have 126 tarts more than Fanny's. How many less tarts does Fanny have than Jade?
| Jade |
Betty |
Fanny |
| 6x4 |
1x4 |
|
| 4x7 |
1x7 |
| 24 u |
4 u |
7 u |
The total number of tarts that Jade and Betty have is repeated. Make the total number of tarts that Jade and Betty have the same. LCM of 7 and 4 is 28.
Total number of tarts that Jade and Betty have
= 24 u + 4 u
= 28 u
Number of more tarts that Jade and Betty have than Fanny
= 28 u - 7 u
= 21 u
21 u = 126
1 u = 126 ÷ 21 = 6
Number of less tarts that Fanny has than Jade
= 24 u - 7 u
= 17 u
= 17 x 6
= 102
Answer(s): 102
