Emma has 6 times as many macarons as Hazel. The total number of Emma's and Hazel's macarons is 6 times of Anna's. Emma and Hazel have 315 macarons more than Anna's. How many less macarons does Anna have than Emma?
| Emma |
Hazel |
Anna |
| 6x6 |
1x6 |
|
| 6x7 |
1x7 |
| 36 u |
6 u |
7 u |
The total number of macarons that Emma and Hazel have is repeated. Make the total number of macarons that Emma and Hazel have the same. LCM of 7 and 6 is 42.
Total number of macarons that Emma and Hazel have
= 36 u + 6 u
= 42 u
Number of more macarons that Emma and Hazel have than Anna
= 42 u - 7 u
= 35 u
35 u = 315
1 u = 315 ÷ 35 = 9
Number of less macarons that Anna has than Emma
= 36 u - 7 u
= 29 u
= 29 x 9
= 261
Answer(s): 261
