Mary has 3 times as many cupcakes as Wendy. The total number of Mary's and Wendy's cupcakes is 5 times of Eva's. Mary and Wendy have 64 cupcakes more than Eva's. How many less cupcakes does Eva have than Mary?
| Mary |
Wendy |
Eva |
| 3x5 |
1x5 |
|
| 5x4 |
1x4 |
| 15 u |
5 u |
4 u |
The total number of cupcakes that Mary and Wendy have is repeated. Make the total number of cupcakes that Mary and Wendy have the same. LCM of 4 and 5 is 20.
Total number of cupcakes that Mary and Wendy have
= 15 u + 5 u
= 20 u
Number of more cupcakes that Mary and Wendy have than Eva
= 20 u - 4 u
= 16 u
16 u = 64
1 u = 64 ÷ 16 = 4
Number of less cupcakes that Eva has than Mary
= 15 u - 4 u
= 11 u
= 11 x 4
= 44
Answer(s): 44
