Esther has 6 times as many macarons as Shannon. The total number of Esther's and Shannon's macarons is 8 times of Victoria's. Esther and Shannon have 245 macarons more than Victoria's. How many less macarons does Victoria have than Esther?
| Esther |
Shannon |
Victoria |
| 6x8 |
1x8 |
|
| 8x7 |
1x7 |
| 48 u |
8 u |
7 u |
The total number of macarons that Esther and Shannon have is repeated. Make the total number of macarons that Esther and Shannon have the same. LCM of 7 and 8 is 56.
Total number of macarons that Esther and Shannon have
= 48 u + 8 u
= 56 u
Number of more macarons that Esther and Shannon have than Victoria
= 56 u - 7 u
= 49 u
49 u = 245
1 u = 245 ÷ 49 = 5
Number of less macarons that Victoria has than Esther
= 48 u - 7 u
= 41 u
= 41 x 5
= 205
Answer(s): 205
