Pamela has 4 times as many cupcakes as Irene. The total number of Pamela's and Irene's cupcakes is 3 times of Marion's. Pamela and Irene have 40 cupcakes more than Marion's. How many more cupcakes does Pamela have than Irene?
| Pamela |
Irene |
Marion |
| 4x3 |
1x3 |
|
| 3x5 |
1x5 |
| 12 u |
3 u |
5 u |
The total number of cupcakes that Pamela and Irene have is repeated. Make the total number of cupcakes that Pamela and Irene have the same. LCM of 5 and 3 is 15.
Total number of cupcakes that Pamela and Irene have
= 12 u + 3 u
= 15 u
Number of more cupcakes that Pamela and Irene have than Marion
= 15 u - 5 u
= 10 u
10 u = 40
1 u = 40 ÷ 10 = 4
Number of more cupcakes that Pamela has than Irene
= 12 u - 3 u
= 9 u
= 9 x 4
= 36
Answer(s): 36
