Elyse has 3 times as many macarons as Winnie. The total number of Elyse's and Winnie's macarons is 3 times of Esther's. Elyse and Winnie have 24 macarons more than Esther's. How many less macarons does Esther have than Elyse?
| Elyse |
Winnie |
Esther |
| 3x3 |
1x3 |
|
| 3x4 |
1x4 |
| 9 u |
3 u |
4 u |
The total number of macarons that Elyse and Winnie have is repeated. Make the total number of macarons that Elyse and Winnie have the same. LCM of 4 and 3 is 12.
Total number of macarons that Elyse and Winnie have
= 9 u + 3 u
= 12 u
Number of more macarons that Elyse and Winnie have than Esther
= 12 u - 4 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
Number of less macarons that Esther has than Elyse
= 9 u - 4 u
= 5 u
= 5 x 3
= 15
Answer(s): 15
