Raeann has 4 times as many biscuits as Barbara. The total number of Raeann's and Barbara's biscuits is 4 times of Cathy's. Raeann and Barbara have 75 biscuits more than Cathy's. How many less biscuits does Cathy have than Raeann?
| Raeann |
Barbara |
Cathy |
| 4x4 |
1x4 |
|
| 4x5 |
1x5 |
| 16 u |
4 u |
5 u |
The total number of biscuits that Raeann and Barbara have is repeated. Make the total number of biscuits that Raeann and Barbara have the same. LCM of 5 and 4 is 20.
Total number of biscuits that Raeann and Barbara have
= 16 u + 4 u
= 20 u
Number of more biscuits that Raeann and Barbara have than Cathy
= 20 u - 5 u
= 15 u
15 u = 75
1 u = 75 ÷ 15 = 5
Number of less biscuits that Cathy has than Raeann
= 16 u - 5 u
= 11 u
= 11 x 5
= 55
Answer(s): 55
