Anna has 6 times as many scones as Esther. The total number of Anna's and Esther's scones is 3 times of Julie's. Anna and Esther have 56 scones more than Julie's. How many less scones does Julie have than Anna?
| Anna |
Esther |
Julie |
| 6x3 |
1x3 |
|
| 3x7 |
1x7 |
| 18 u |
3 u |
7 u |
The total number of scones that Anna and Esther have is repeated. Make the total number of scones that Anna and Esther have the same. LCM of 7 and 3 is 21.
Total number of scones that Anna and Esther have
= 18 u + 3 u
= 21 u
Number of more scones that Anna and Esther have than Julie
= 21 u - 7 u
= 14 u
14 u = 56
1 u = 56 ÷ 14 = 4
Number of less scones that Julie has than Anna
= 18 u - 7 u
= 11 u
= 11 x 4
= 44
Answer(s): 44
