Winnie has 5 times as many macarons as Raeann. The total number of Winnie's and Raeann's macarons is 8 times of Kimberly's. Winnie and Raeann have 126 macarons more than Kimberly's. How many less macarons does Kimberly have than Winnie?
| Winnie |
Raeann |
Kimberly |
| 5x4 |
1x4 |
|
| 8x3 |
1x3 |
| 20 u |
4 u |
3 u |
The total number of macarons that Winnie and Raeann have is repeated. Make the total number of macarons that Winnie and Raeann have the same. LCM of 6 and 8 is 24.
Total number of macarons that Winnie and Raeann have
= 20 u + 4 u
= 24 u
Number of more macarons that Winnie and Raeann have than Kimberly
= 24 u - 3 u
= 21 u
21 u = 126
1 u = 126 ÷ 21 = 6
Number of less macarons that Kimberly has than Winnie
= 20 u - 3 u
= 17 u
= 17 x 6
= 102
Answer(s): 102
