Barbara has 3 times as many macarons as Jean. The total number of Barbara's and Jean's macarons is 7 times of Natalie's. Barbara and Jean have 288 macarons more than Natalie's. How many more macarons does Barbara have than Jean?
| Barbara |
Jean |
Natalie |
| 3x7 |
1x7 |
|
| 7x4 |
1x4 |
| 21 u |
7 u |
4 u |
The total number of macarons that Barbara and Jean have is repeated. Make the total number of macarons that Barbara and Jean have the same. LCM of 4 and 7 is 28.
Total number of macarons that Barbara and Jean have
= 21 u + 7 u
= 28 u
Number of more macarons that Barbara and Jean have than Natalie
= 28 u - 4 u
= 24 u
24 u = 288
1 u = 288 ÷ 24 = 12
Number of more macarons that Barbara has than Jean
= 21 u - 7 u
= 14 u
= 14 x 12
= 168
Answer(s): 168
