Jean has 6 times as many tarts as Raeann. The total number of Jean's and Raeann's tarts is 8 times of Roshel's. Jean and Raeann have 392 tarts more than Roshel's. How many more tarts does Jean have than Raeann?
| Jean |
Raeann |
Roshel |
| 6x8 |
1x8 |
|
| 8x7 |
1x7 |
| 48 u |
8 u |
7 u |
The total number of tarts that Jean and Raeann have is repeated. Make the total number of tarts that Jean and Raeann have the same. LCM of 7 and 8 is 56.
Total number of tarts that Jean and Raeann have
= 48 u + 8 u
= 56 u
Number of more tarts that Jean and Raeann have than Roshel
= 56 u - 7 u
= 49 u
49 u = 392
1 u = 392 ÷ 49 = 8
Number of more tarts that Jean has than Raeann
= 48 u - 8 u
= 40 u
= 40 x 8
= 320
Answer(s): 320
