Lucy has 3 times as many tarts as Rachel. The total number of Lucy's and Rachel's tarts is 6 times of Jean's. Lucy and Rachel have 90 tarts more than Jean's. How many less tarts does Jean have than Lucy?
| Lucy |
Rachel |
Jean |
| 3x3 |
1x3 |
|
| 6x2 |
1x2 |
| 9 u |
3 u |
2 u |
The total number of tarts that Lucy and Rachel have is repeated. Make the total number of tarts that Lucy and Rachel have the same. LCM of 4 and 6 is 12.
Total number of tarts that Lucy and Rachel have
= 9 u + 3 u
= 12 u
Number of more tarts that Lucy and Rachel have than Jean
= 12 u - 2 u
= 10 u
10 u = 90
1 u = 90 ÷ 10 = 9
Number of less tarts that Jean has than Lucy
= 9 u - 2 u
= 7 u
= 7 x 9
= 63
Answer(s): 63
