Xylia has 3 times as many macarons as Eva. The total number of Xylia's and Eva's macarons is 5 times of Raeann's. Xylia and Eva have 96 macarons more than Raeann's. How many less macarons does Raeann have than Xylia?
| Xylia |
Eva |
Raeann |
| 3x5 |
1x5 |
|
| 5x4 |
1x4 |
| 15 u |
5 u |
4 u |
The total number of macarons that Xylia and Eva have is repeated. Make the total number of macarons that Xylia and Eva have the same. LCM of 4 and 5 is 20.
Total number of macarons that Xylia and Eva have
= 15 u + 5 u
= 20 u
Number of more macarons that Xylia and Eva have than Raeann
= 20 u - 4 u
= 16 u
16 u = 96
1 u = 96 ÷ 16 = 6
Number of less macarons that Raeann has than Xylia
= 15 u - 4 u
= 11 u
= 11 x 6
= 66
Answer(s): 66
