Jane has 3 times as many scones as Lynn. The total number of Jane's and Lynn's scones is 8 times of Zoe's. Jane and Lynn have 77 scones more than Zoe's. How many less scones does Zoe have than Jane?
| Jane |
Lynn |
Zoe |
| 3x2 |
1x2 |
|
| 8x1 |
1x1 |
| 6 u |
2 u |
1 u |
The total number of scones that Jane and Lynn have is repeated. Make the total number of scones that Jane and Lynn have the same. LCM of 4 and 8 is 8.
Total number of scones that Jane and Lynn have
= 6 u + 2 u
= 8 u
Number of more scones that Jane and Lynn have than Zoe
= 8 u - 1 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Number of less scones that Zoe has than Jane
= 6 u - 1 u
= 5 u
= 5 x 11
= 55
Answer(s): 55
