Gillian has 5 times as many biscuits as Nicole. The total number of Gillian's and Nicole's biscuits is 3 times of Emma's. Gillian and Nicole have 40 biscuits more than Emma's. How many more biscuits does Gillian have than Nicole?
| Gillian |
Nicole |
Emma |
| 5x1 |
1x1 |
|
| 3x2 |
1x2 |
| 5 u |
1 u |
2 u |
The total number of biscuits that Gillian and Nicole have is repeated. Make the total number of biscuits that Gillian and Nicole have the same. LCM of 6 and 3 is 6.
Total number of biscuits that Gillian and Nicole have
= 5 u + 1 u
= 6 u
Number of more biscuits that Gillian and Nicole have than Emma
= 6 u - 2 u
= 4 u
4 u = 40
1 u = 40 ÷ 4 = 10
Number of more biscuits that Gillian has than Nicole
= 5 u - 1 u
= 4 u
= 4 x 10
= 40
Answer(s): 40
