Victoria has 5 times as many biscuits as Marion. The total number of Victoria's and Marion's biscuits is 8 times of Esther's. Victoria and Marion have 210 biscuits more than Esther's. How many less biscuits does Esther have than Victoria?
| Victoria |
Marion |
Esther |
| 5x4 |
1x4 |
|
| 8x3 |
1x3 |
| 20 u |
4 u |
3 u |
The total number of biscuits that Victoria and Marion have is repeated. Make the total number of biscuits that Victoria and Marion have the same. LCM of 6 and 8 is 24.
Total number of biscuits that Victoria and Marion have
= 20 u + 4 u
= 24 u
Number of more biscuits that Victoria and Marion have than Esther
= 24 u - 3 u
= 21 u
21 u = 210
1 u = 210 ÷ 21 = 10
Number of less biscuits that Esther has than Victoria
= 20 u - 3 u
= 17 u
= 17 x 10
= 170
Answer(s): 170
