Diana has 4 times as many cupcakes as Hazel. The total number of Diana's and Hazel's cupcakes is 4 times of Xylia's. Diana and Hazel have 150 cupcakes more than Xylia's. How many less cupcakes does Xylia have than Diana?
| Diana |
Hazel |
Xylia |
| 4x4 |
1x4 |
|
| 4x5 |
1x5 |
| 16 u |
4 u |
5 u |
The total number of cupcakes that Diana and Hazel have is repeated. Make the total number of cupcakes that Diana and Hazel have the same. LCM of 5 and 4 is 20.
Total number of cupcakes that Diana and Hazel have
= 16 u + 4 u
= 20 u
Number of more cupcakes that Diana and Hazel have than Xylia
= 20 u - 5 u
= 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Number of less cupcakes that Xylia has than Diana
= 16 u - 5 u
= 11 u
= 11 x 10
= 110
Answer(s): 110
