Cathy has 6 times as many biscuits as Raeann. The total number of Cathy's and Raeann's biscuits is 4 times of Zoe's. Cathy and Raeann have 84 biscuits more than Zoe's. How many less biscuits does Zoe have than Cathy?
| Cathy |
Raeann |
Zoe |
| 6x4 |
1x4 |
|
| 4x7 |
1x7 |
| 24 u |
4 u |
7 u |
The total number of biscuits that Cathy and Raeann have is repeated. Make the total number of biscuits that Cathy and Raeann have the same. LCM of 7 and 4 is 28.
Total number of biscuits that Cathy and Raeann have
= 24 u + 4 u
= 28 u
Number of more biscuits that Cathy and Raeann have than Zoe
= 28 u - 7 u
= 21 u
21 u = 84
1 u = 84 ÷ 21 = 4
Number of less biscuits that Zoe has than Cathy
= 24 u - 7 u
= 17 u
= 17 x 4
= 68
Answer(s): 68
