Jean has 5 times as many shortbreads as Lynn. The total number of Jean's and Lynn's shortbreads is 8 times of Nicole's. Jean and Lynn have 252 shortbreads more than Nicole's. How many more shortbreads does Jean have than Lynn?
| Jean |
Lynn |
Nicole |
| 5x4 |
1x4 |
|
| 8x3 |
1x3 |
| 20 u |
4 u |
3 u |
The total number of shortbreads that Jean and Lynn have is repeated. Make the total number of shortbreads that Jean and Lynn have the same. LCM of 6 and 8 is 24.
Total number of shortbreads that Jean and Lynn have
= 20 u + 4 u
= 24 u
Number of more shortbreads that Jean and Lynn have than Nicole
= 24 u - 3 u
= 21 u
21 u = 252
1 u = 252 ÷ 21 = 12
Number of more shortbreads that Jean has than Lynn
= 20 u - 4 u
= 16 u
= 16 x 12
= 192
Answer(s): 192
