Nicole has 4 times as many macarons as Opal. The total number of Nicole's and Opal's macarons is 3 times of Winnie's. Nicole and Opal have 120 macarons more than Winnie's. How many less macarons does Winnie have than Nicole?
| Nicole |
Opal |
Winnie |
| 4x3 |
1x3 |
|
| 3x5 |
1x5 |
| 12 u |
3 u |
5 u |
The total number of macarons that Nicole and Opal have is repeated. Make the total number of macarons that Nicole and Opal have the same. LCM of 5 and 3 is 15.
Total number of macarons that Nicole and Opal have
= 12 u + 3 u
= 15 u
Number of more macarons that Nicole and Opal have than Winnie
= 15 u - 5 u
= 10 u
10 u = 120
1 u = 120 ÷ 10 = 12
Number of less macarons that Winnie has than Nicole
= 12 u - 5 u
= 7 u
= 7 x 12
= 84
Answer(s): 84
