Elyse has 4 times as many cupcakes as Winnie. The total number of Elyse's and Winnie's cupcakes is 3 times of Julie's. Elyse and Winnie have 70 cupcakes more than Julie's. How many more cupcakes does Elyse have than Winnie?
| Elyse |
Winnie |
Julie |
| 4x3 |
1x3 |
|
| 3x5 |
1x5 |
| 12 u |
3 u |
5 u |
The total number of cupcakes that Elyse and Winnie have is repeated. Make the total number of cupcakes that Elyse and Winnie have the same. LCM of 5 and 3 is 15.
Total number of cupcakes that Elyse and Winnie have
= 12 u + 3 u
= 15 u
Number of more cupcakes that Elyse and Winnie have than Julie
= 15 u - 5 u
= 10 u
10 u = 70
1 u = 70 ÷ 10 = 7
Number of more cupcakes that Elyse has than Winnie
= 12 u - 3 u
= 9 u
= 9 x 7
= 63
Answer(s): 63
