Opal has 2 times as many tarts as Lynn. The total number of Opal's and Lynn's tarts is 4 times of Risa's. Opal and Lynn have 99 tarts more than Risa's. How many more tarts does Opal have than Lynn?
| Opal |
Lynn |
Risa |
| 2x4 |
1x4 |
|
| 4x3 |
1x3 |
| 8 u |
4 u |
3 u |
The total number of tarts that Opal and Lynn have is repeated. Make the total number of tarts that Opal and Lynn have the same. LCM of 3 and 4 is 12.
Total number of tarts that Opal and Lynn have
= 8 u + 4 u
= 12 u
Number of more tarts that Opal and Lynn have than Risa
= 12 u - 3 u
= 9 u
9 u = 99
1 u = 99 ÷ 9 = 11
Number of more tarts that Opal has than Lynn
= 8 u - 4 u
= 4 u
= 4 x 11
= 44
Answer(s): 44
