Roshel has 2 times as many cupcakes as Betty. The total number of Roshel's and Betty's cupcakes is 4 times of Esther's. Roshel and Betty have 27 cupcakes more than Esther's. How many less cupcakes does Esther have than Roshel?
| Roshel |
Betty |
Esther |
| 2x4 |
1x4 |
|
| 4x3 |
1x3 |
| 8 u |
4 u |
3 u |
The total number of cupcakes that Roshel and Betty have is repeated. Make the total number of cupcakes that Roshel and Betty have the same. LCM of 3 and 4 is 12.
Total number of cupcakes that Roshel and Betty have
= 8 u + 4 u
= 12 u
Number of more cupcakes that Roshel and Betty have than Esther
= 12 u - 3 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Number of less cupcakes that Esther has than Roshel
= 8 u - 3 u
= 5 u
= 5 x 3
= 15
Answer(s): 15
