Rachel has 6 times as many wafers as Eva. The total number of Rachel's and Eva's wafers is 5 times of Lynn's. Rachel and Eva have 252 wafers more than Lynn's. How many more wafers does Rachel have than Eva?
| Rachel |
Eva |
Lynn |
| 6x5 |
1x5 |
|
| 5x7 |
1x7 |
| 30 u |
5 u |
7 u |
The total number of wafers that Rachel and Eva have is repeated. Make the total number of wafers that Rachel and Eva have the same. LCM of 7 and 5 is 35.
Total number of wafers that Rachel and Eva have
= 30 u + 5 u
= 35 u
Number of more wafers that Rachel and Eva have than Lynn
= 35 u - 7 u
= 28 u
28 u = 252
1 u = 252 ÷ 28 = 9
Number of more wafers that Rachel has than Eva
= 30 u - 5 u
= 25 u
= 25 x 9
= 225
Answer(s): 225
