Rachel has 6 times as many cookies as Julie. The total number of Rachel's and Julie's cookies is 6 times of Shannon's. Rachel and Julie have 105 cookies more than Shannon's. How many more cookies does Rachel have than Julie?
| Rachel |
Julie |
Shannon |
| 6x6 |
1x6 |
|
| 6x7 |
1x7 |
| 36 u |
6 u |
7 u |
The total number of cookies that Rachel and Julie have is repeated. Make the total number of cookies that Rachel and Julie have the same. LCM of 7 and 6 is 42.
Total number of cookies that Rachel and Julie have
= 36 u + 6 u
= 42 u
Number of more cookies that Rachel and Julie have than Shannon
= 42 u - 7 u
= 35 u
35 u = 105
1 u = 105 ÷ 35 = 3
Number of more cookies that Rachel has than Julie
= 36 u - 6 u
= 30 u
= 30 x 3
= 90
Answer(s): 90
