Julie has 3 times as many macarons as Jade. The total number of Julie's and Jade's macarons is 8 times of Opal's. Julie and Jade have 56 macarons more than Opal's. How many less macarons does Opal have than Julie?
| Julie |
Jade |
Opal |
| 3x2 |
1x2 |
|
| 8x1 |
1x1 |
| 6 u |
2 u |
1 u |
The total number of macarons that Julie and Jade have is repeated. Make the total number of macarons that Julie and Jade have the same. LCM of 4 and 8 is 8.
Total number of macarons that Julie and Jade have
= 6 u + 2 u
= 8 u
Number of more macarons that Julie and Jade have than Opal
= 8 u - 1 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Number of less macarons that Opal has than Julie
= 6 u - 1 u
= 5 u
= 5 x 8
= 40
Answer(s): 40
