Zara has 6 times as many macarons as Hilda. The total number of Zara's and Hilda's macarons is 3 times of Sarah's. Zara and Hilda have 84 macarons more than Sarah's. How many less macarons does Sarah have than Zara?
| Zara |
Hilda |
Sarah |
| 6x3 |
1x3 |
|
| 3x7 |
1x7 |
| 18 u |
3 u |
7 u |
The total number of macarons that Zara and Hilda have is repeated. Make the total number of macarons that Zara and Hilda have the same. LCM of 7 and 3 is 21.
Total number of macarons that Zara and Hilda have
= 18 u + 3 u
= 21 u
Number of more macarons that Zara and Hilda have than Sarah
= 21 u - 7 u
= 14 u
14 u = 84
1 u = 84 ÷ 14 = 6
Number of less macarons that Sarah has than Zara
= 18 u - 7 u
= 11 u
= 11 x 6
= 66
Answer(s): 66
