Sarah has 2 times as many biscuits as Raeann. The total number of Sarah's and Raeann's biscuits is 2 times of Gwen's. Sarah and Raeann have 36 biscuits more than Gwen's. How many more biscuits does Sarah have than Raeann?
| Sarah |
Raeann |
Gwen |
| 2x2 |
1x2 |
|
| 2x3 |
1x3 |
| 4 u |
2 u |
3 u |
The total number of biscuits that Sarah and Raeann have is repeated. Make the total number of biscuits that Sarah and Raeann have the same. LCM of 3 and 2 is 6.
Total number of biscuits that Sarah and Raeann have
= 4 u + 2 u
= 6 u
Number of more biscuits that Sarah and Raeann have than Gwen
= 6 u - 3 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of more biscuits that Sarah has than Raeann
= 4 u - 2 u
= 2 u
= 2 x 12
= 24
Answer(s): 24
