Lucy has 6 times as many scones as Tammy. The total number of Lucy's and Tammy's scones is 3 times of Betty's. Lucy and Tammy have 168 scones more than Betty's. How many less scones does Betty have than Lucy?
| Lucy |
Tammy |
Betty |
| 6x3 |
1x3 |
|
| 3x7 |
1x7 |
| 18 u |
3 u |
7 u |
The total number of scones that Lucy and Tammy have is repeated. Make the total number of scones that Lucy and Tammy have the same. LCM of 7 and 3 is 21.
Total number of scones that Lucy and Tammy have
= 18 u + 3 u
= 21 u
Number of more scones that Lucy and Tammy have than Betty
= 21 u - 7 u
= 14 u
14 u = 168
1 u = 168 ÷ 14 = 12
Number of less scones that Betty has than Lucy
= 18 u - 7 u
= 11 u
= 11 x 12
= 132
Answer(s): 132
