Pamela has 3 times as many biscuits as Elyse. The total number of Pamela's and Elyse's biscuits is 5 times of Irene's. Pamela and Elyse have 144 biscuits more than Irene's. How many more biscuits does Pamela have than Elyse?
| Pamela |
Elyse |
Irene |
| 3x5 |
1x5 |
|
| 5x4 |
1x4 |
| 15 u |
5 u |
4 u |
The total number of biscuits that Pamela and Elyse have is repeated. Make the total number of biscuits that Pamela and Elyse have the same. LCM of 4 and 5 is 20.
Total number of biscuits that Pamela and Elyse have
= 15 u + 5 u
= 20 u
Number of more biscuits that Pamela and Elyse have than Irene
= 20 u - 4 u
= 16 u
16 u = 144
1 u = 144 ÷ 16 = 9
Number of more biscuits that Pamela has than Elyse
= 15 u - 5 u
= 10 u
= 10 x 9
= 90
Answer(s): 90
