Lynn has 4 times as many cupcakes as Emma. The total number of Lynn's and Emma's cupcakes is 3 times of Mary's. Lynn and Emma have 110 cupcakes more than Mary's. How many less cupcakes does Mary have than Lynn?
| Lynn |
Emma |
Mary |
| 4x3 |
1x3 |
|
| 3x5 |
1x5 |
| 12 u |
3 u |
5 u |
The total number of cupcakes that Lynn and Emma have is repeated. Make the total number of cupcakes that Lynn and Emma have the same. LCM of 5 and 3 is 15.
Total number of cupcakes that Lynn and Emma have
= 12 u + 3 u
= 15 u
Number of more cupcakes that Lynn and Emma have than Mary
= 15 u - 5 u
= 10 u
10 u = 110
1 u = 110 ÷ 10 = 11
Number of less cupcakes that Mary has than Lynn
= 12 u - 5 u
= 7 u
= 7 x 11
= 77
Answer(s): 77
