Roshel has 4 times as many scones as Hazel. The total number of Roshel's and Hazel's scones is 7 times of Fanny's. Roshel and Hazel have 210 scones more than Fanny's. How many more scones does Roshel have than Hazel?
| Roshel |
Hazel |
Fanny |
| 4x7 |
1x7 |
|
| 7x5 |
1x5 |
| 28 u |
7 u |
5 u |
The total number of scones that Roshel and Hazel have is repeated. Make the total number of scones that Roshel and Hazel have the same. LCM of 5 and 7 is 35.
Total number of scones that Roshel and Hazel have
= 28 u + 7 u
= 35 u
Number of more scones that Roshel and Hazel have than Fanny
= 35 u - 5 u
= 30 u
30 u = 210
1 u = 210 ÷ 30 = 7
Number of more scones that Roshel has than Hazel
= 28 u - 7 u
= 21 u
= 21 x 7
= 147
Answer(s): 147
